Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350s |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-47905938512031250 = -1 · 2 · 57 · 73 · 197 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -3 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31776,-10756552] |
[a1,a2,a3,a4,a6] |
j |
-4826809/65170 |
j-invariant |
L |
1.2232796193872 |
L(r)(E,1)/r! |
Ω |
0.15291004082051 |
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 |
25270u1 6650w1 |
Quadratic twists by: 5 -19 |