Atkin-Lehner |
3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
15123a |
Isogeny class |
Conductor |
15123 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-81856081425519 = -1 · 32 · 717 |
Discriminant |
Eigenvalues |
1 3- 2 -2 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2415,-432689] |
[a1,a2,a3,a4,a6] |
Generators |
[39833938441:454905640715:273359449] |
Generators of the group modulo torsion |
j |
12167/639 |
j-invariant |
L |
7.5168061266299 |
L(r)(E,1)/r! |
Ω |
0.29105204911522 |
Real period |
R |
12.913164757782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45369a1 213a1 |
Quadratic twists by: -3 -71 |