Atkin-Lehner |
2- 3+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
97008w |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
74502144 = 212 · 32 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 -6 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1032,13104] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-8:1] [-6:138:1] |
Generators of the group modulo torsion |
j |
29704593673/18189 |
j-invariant |
L |
6.3952686728643 |
L(r)(E,1)/r! |
Ω |
1.9177186923142 |
Real period |
R |
0.41685393553346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6063b1 |
Quadratic twists by: -4 |