Atkin-Lehner |
2+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98758b |
Isogeny class |
Conductor |
98758 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1077120 |
Modular degree for the optimal curve |
Δ |
4266740970147392 = 26 · 11 · 677 |
Discriminant |
Eigenvalues |
2+ 0 -4 -4 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56954,4196724] |
[a1,a2,a3,a4,a6] |
Generators |
[7293:74911:27] |
Generators of the group modulo torsion |
j |
225866529/47168 |
j-invariant |
L |
2.2112169689834 |
L(r)(E,1)/r! |
Ω |
0.41388022536357 |
Real period |
R |
2.6713246900285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000178756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1474a1 |
Quadratic twists by: -67 |