Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426bf |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-3313550314635264 = -1 · 216 · 314 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4289,2767769] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-1747:1] |
Generators of the group modulo torsion |
j |
9079504214351/3448023220224 |
j-invariant |
L |
8.548995855922 |
L(r)(E,1)/r! |
Ω |
0.34706086071128 |
Real period |
R |
0.10996676488242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63426s1 |
Quadratic twists by: -31 |