Atkin-Lehner |
2+ 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550b |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
23506270200 = 23 · 33 · 52 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1212,14776] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:179:1] |
Generators of the group modulo torsion |
j |
291829602195/34824104 |
j-invariant |
L |
4.1313313711252 |
L(r)(E,1)/r! |
Ω |
1.1598556542993 |
Real period |
R |
0.89048396596694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998043405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550cw2 116550du1 |
Quadratic twists by: -3 5 |