Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616k |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-22968008704 = -1 · 224 · 372 |
Discriminant |
Eigenvalues |
2+ 2 3 -4 6 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3009,64961] |
[a1,a2,a3,a4,a6] |
Generators |
[35:36:1] |
Generators of the group modulo torsion |
j |
-8398297/64 |
j-invariant |
L |
11.723535017339 |
L(r)(E,1)/r! |
Ω |
1.2090083527058 |
Real period |
R |
2.42420471829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616bn1 2738d1 87616l1 |
Quadratic twists by: -4 8 37 |