Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bl |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
15076233216 = 212 · 39 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60564,5736800] |
[a1,a2,a3,a4,a6] |
Generators |
[3450:7840:27] |
Generators of the group modulo torsion |
j |
8227727284672/5049 |
j-invariant |
L |
10.043885485085 |
L(r)(E,1)/r! |
Ω |
1.0273991127325 |
Real period |
R |
4.8880154476788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ci1 53856bf1 35904r1 |
Quadratic twists by: -4 8 -3 |