Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800bl |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
888832000000000 = 221 · 59 · 7 · 31 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -1 5 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112675,-14486750] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:250:1] |
Generators of the group modulo torsion |
j |
2471874619761/13888000 |
j-invariant |
L |
3.9832151409724 |
L(r)(E,1)/r! |
Ω |
0.26066912197068 |
Real period |
R |
1.910091573298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850l1 17360bl1 |
Quadratic twists by: -4 5 |