Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bk |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
40040747256720 = 24 · 3 · 5 · 72 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-187013,31111136] |
[a1,a2,a3,a4,a6] |
Generators |
[31420:-12108:125] |
Generators of the group modulo torsion |
j |
4886171981209/270480 |
j-invariant |
L |
7.4535971252415 |
L(r)(E,1)/r! |
Ω |
0.61054157152138 |
Real period |
R |
6.1040864782928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830j1 |
Quadratic twists by: -23 |