Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210bp |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-140541540750 = -1 · 2 · 39 · 53 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7637,-255589] |
[a1,a2,a3,a4,a6] |
j |
-2365581049/6750 |
j-invariant |
L |
4.5955933224754 |
L(r)(E,1)/r! |
Ω |
0.25531074013752 |
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 |
121680ey1 5070i1 76050bn1 15210j1 |
Quadratic twists by: -4 -3 5 13 |