Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736x |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
6690816 |
Modular degree for the optimal curve |
Δ |
3.0903365357947E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78624388,268312804604] |
[a1,a2,a3,a4,a6] |
Generators |
[4850:33048:1] |
Generators of the group modulo torsion |
j |
89047436166614000/51195483 |
j-invariant |
L |
7.0654861008397 |
L(r)(E,1)/r! |
Ω |
0.17168658104059 |
Real period |
R |
1.8706089707356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49368t1 98736u1 |
Quadratic twists by: -4 -11 |