Atkin-Lehner |
11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
68651c |
Isogeny class |
Conductor |
68651 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
1.4502043113897E+19 |
Discriminant |
Eigenvalues |
1 1 1 -1 11- 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3198643,-2194525781] |
[a1,a2,a3,a4,a6] |
Generators |
[2668950241:164955953789:571787] |
Generators of the group modulo torsion |
j |
14888751553801/59657719 |
j-invariant |
L |
8.888278050846 |
L(r)(E,1)/r! |
Ω |
0.11291790303769 |
Real period |
R |
9.839314461808 |
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 |
869d1 |
Quadratic twists by: -79 |