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	23120a	Isogeny class
Conductor	23120	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	123584353280 = 210 · 5 · 176	Discriminant
Eigenvalues	2+  0 5+ -4  4 -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-30923,2092938]	[a1,a2,a3,a4,a6]
Generators	[-187:1156:1]	Generators of the group modulo torsion
j	132304644/5	j-invariant
L	3.5346104567428	L(r)(E,1)/r!
Ω	0.97931316987591	Real period
R	1.8046374568774	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11560a3 92480dv4 115600b4 80a3	Quadratic twists by: -4 8 5 17

Hecke Eigenvalues for elliptic curve 23120a4

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
+	0	+	-4	4	-2	+	-4	4	2	-8	-6	6	8	-4	6	4	2	-8	0	6	0	16	-6	14

---

Quadratic twists for elliptic curve 23120a4

-4	8	5	17
11560a3	92480dv4	115600b4	80a3

---

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