Atkin-Lehner |
2- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25012a |
Isogeny class |
Conductor |
25012 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
45719534848 = 28 · 136 · 37 |
Discriminant |
Eigenvalues |
2- -1 4 3 -5 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-901,-1327] |
[a1,a2,a3,a4,a6] |
j |
65536/37 |
j-invariant |
L |
1.8776569234831 |
L(r)(E,1)/r! |
Ω |
0.93882846174145 |
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 |
100048h1 148a1 |
Quadratic twists by: -4 13 |