Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320f |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7667712 |
Modular degree for the optimal curve |
Δ |
1.5458416745933E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34514598,77816722097] |
[a1,a2,a3,a4,a6] |
Generators |
[-4864:361415:1] |
Generators of the group modulo torsion |
j |
389838439041202927077376/1325310077669172525 |
j-invariant |
L |
4.4704091076534 |
L(r)(E,1)/r! |
Ω |
0.12482729597359 |
Real period |
R |
2.9843960708432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440r1 |
Quadratic twists by: -3 |