Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15210bk |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-480483900 = -1 · 22 · 37 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-383,-2973] |
[a1,a2,a3,a4,a6] |
j |
-3869893/300 |
j-invariant |
L |
4.2985387274884 |
L(r)(E,1)/r! |
Ω |
0.53731734093605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680eh1 5070g1 76050bz1 15210w1 |
Quadratic twists by: -4 -3 5 13 |