Atkin-Lehner |
2- 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
125248bq |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
560640 |
Modular degree for the optimal curve |
Δ |
-430390219423744 = -1 · 214 · 195 · 1032 |
Discriminant |
Eigenvalues |
2- -2 -1 3 -1 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62021,-6048989] |
[a1,a2,a3,a4,a6] |
j |
-1610375179457536/26268934291 |
j-invariant |
L |
1.5111706943946 |
L(r)(E,1)/r! |
Ω |
0.15111707743581 |
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 |
125248e1 31312e1 |
Quadratic twists by: -4 8 |