Atkin-Lehner |
2- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12950q |
Isogeny class |
Conductor |
12950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-3325488167968750 = -1 · 2 · 59 · 75 · 373 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 7 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45805,4694947] |
[a1,a2,a3,a4,a6] |
j |
-5441560307469/1702649942 |
j-invariant |
L |
4.2258091504387 |
L(r)(E,1)/r! |
Ω |
0.42258091504387 |
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 |
103600bt1 116550co1 12950g1 90650cz1 |
Quadratic twists by: -4 -3 5 -7 |