Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496bc |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-57620312064 = -1 · 212 · 33 · 75 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -4 1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6408,197776] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:588:1] [48:28:1] |
Generators of the group modulo torsion |
j |
-263128269312/521017 |
j-invariant |
L |
9.6372874229158 |
L(r)(E,1)/r! |
Ω |
1.1152680941172 |
Real period |
R |
0.43206146906524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496b1 124992v1 62496f1 |
Quadratic twists by: -4 8 -3 |