Atkin-Lehner |
2- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15080j |
Isogeny class |
Conductor |
15080 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7968 |
Modular degree for the optimal curve |
Δ |
-3246663680 = -1 · 211 · 5 · 13 · 293 |
Discriminant |
Eigenvalues |
2- -1 5- 0 -4 13- -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,240,-2420] |
[a1,a2,a3,a4,a6] |
j |
743389918/1585285 |
j-invariant |
L |
0.73592547272853 |
L(r)(E,1)/r! |
Ω |
0.73592547272853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30160h1 120640g1 75400b1 |
Quadratic twists by: -4 8 5 |