Atkin-Lehner |
2- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
118096s |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
75410864420159488 = 219 · 119 · 61 |
Discriminant |
Eigenvalues |
2- -1 0 2 11+ -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-494688,-133101824] |
[a1,a2,a3,a4,a6] |
Generators |
[-2051934:3399374:4913] |
Generators of the group modulo torsion |
j |
1386195875/7808 |
j-invariant |
L |
4.9352848920091 |
L(r)(E,1)/r! |
Ω |
0.18007935992691 |
Real period |
R |
6.8515415924754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999879781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14762f1 118096p1 |
Quadratic twists by: -4 -11 |