Cremona's table of elliptic curves

23120 = 2⁴ · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2- 5- 17+	Signs for the Atkin-Lehner involutions
Class	23120be	Isogeny class
Conductor	23120	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-1.2143398553293E+23	Discriminant
Eigenvalues	2-  1 5-  2  0 -1 17+  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-30708080,67599430100]	[a1,a2,a3,a4,a6]
Generators	[3020:49130:1]	Generators of the group modulo torsion
j	-32391289681150609/1228250000000	j-invariant
L	6.9869695900839	L(r)(E,1)/r!
Ω	0.10395977978195	Real period
R	0.9334498833131	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2890q2 92480de2 115600bo2 1360d2	Quadratic twists by: -4 8 5 17

Hecke Eigenvalues for elliptic curve 23120be2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	1	-	2	0	-1	+	1	-6	3	5	-8	-6	10	3	-3	-3	-11	-2	9	-11	8	12	15	7

---

Quadratic twists for elliptic curve 23120be2

-4	8	5	17
2890q2	92480de2	115600bo2	1360d2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations