Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12635h |
Isogeny class |
Conductor |
12635 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-892008575094021875 = -1 · 55 · 75 · 198 |
Discriminant |
Eigenvalues |
2 1 5- 7- -3 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-75930,-46173869] |
[a1,a2,a3,a4,a6] |
j |
-1029077364736/18960396875 |
j-invariant |
L |
6.0348790217174 |
L(r)(E,1)/r! |
Ω |
0.12069758043435 |
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 |
113715z1 63175l1 88445w1 665d1 |
Quadratic twists by: -3 5 -7 -19 |