Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12950k |
Isogeny class |
Conductor |
12950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-11603200 = -1 · 28 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 6 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1358,-19829] |
[a1,a2,a3,a4,a6] |
j |
-11079062208265/464128 |
j-invariant |
L |
6.2916106942565 |
L(r)(E,1)/r! |
Ω |
0.39322566839103 |
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 |
103600bn1 116550bi1 12950j1 90650cj1 |
Quadratic twists by: -4 -3 5 -7 |