Atkin-Lehner |
2- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
96446f |
Isogeny class |
Conductor |
96446 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4015872 |
Modular degree for the optimal curve |
Δ |
31532091249946574 = 2 · 7 · 838 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 5 3 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6706585,-6685535781] |
[a1,a2,a3,a4,a6] |
Generators |
[24891421305943223299390:760788124219609873074651:7192387574801623592] |
Generators of the group modulo torsion |
j |
14811644401/14 |
j-invariant |
L |
8.8832733121406 |
L(r)(E,1)/r! |
Ω |
0.093815418588631 |
Real period |
R |
31.562947206268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96446b1 |
Quadratic twists by: -83 |