Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
94752g |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-426464160192 = -1 · 26 · 310 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2505,57584] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:324:1] |
Generators of the group modulo torsion |
j |
-37259704000/9140607 |
j-invariant |
L |
7.5953639322212 |
L(r)(E,1)/r! |
Ω |
0.89832162117962 |
Real period |
R |
2.11376519898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752o1 31584o1 |
Quadratic twists by: -4 -3 |