Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8410j |
Isogeny class |
Conductor |
8410 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
31320 |
Modular degree for the optimal curve |
Δ |
-100049282592200 = -1 · 23 · 52 · 298 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 3 -4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9654,-312724] |
[a1,a2,a3,a4,a6] |
Generators |
[6671386:104456972:29791] |
Generators of the group modulo torsion |
j |
198911/200 |
j-invariant |
L |
7.3134888665047 |
L(r)(E,1)/r! |
Ω |
0.32530651599121 |
Real period |
R |
11.240919728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67280t1 75690v1 42050m1 8410a1 |
Quadratic twists by: -4 -3 5 29 |