Cremona's table of elliptic curves

10350 = 2 · 3² · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	10350bh	Isogeny class
Conductor	10350	Conductor
∏ cp	448	Product of Tamagawa factors cp
Δ	4.0483049616E+20	Discriminant
Eigenvalues	2- 3- 5+  0  0 -6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-19442480,32987744147]	[a1,a2,a3,a4,a6]
Generators	[-1091:230545:1]	Generators of the group modulo torsion
j	71356102305927901489/35540674560000	j-invariant
L	6.5804892722073	L(r)(E,1)/r!
Ω	0.16606433195994	Real period
R	1.4152194588305	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	82800ds2 3450j2 2070i2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 10350bh2

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	0	-6	2	0	+	-6	8	-10	6	8	8	-6	4	-6	-8	8	-10	-8	-8	6	-18

---

Quadratic twists for elliptic curve 10350bh2

-4	-3	5
82800ds2	3450j2	2070i2

---

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