Atkin-Lehner |
5- 7+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
117845j |
Isogeny class |
Conductor |
117845 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
197629011125 = 53 · 74 · 13 · 373 |
Discriminant |
Eigenvalues |
1 0 5- 7+ 0 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3929,-91372] |
[a1,a2,a3,a4,a6] |
Generators |
[-274:507:8] |
Generators of the group modulo torsion |
j |
2794086283401/82311125 |
j-invariant |
L |
7.4296956499318 |
L(r)(E,1)/r! |
Ω |
0.60409637547755 |
Real period |
R |
1.3665397841635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117845g1 |
Quadratic twists by: -7 |