Atkin-Lehner |
2+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29450n |
Isogeny class |
Conductor |
29450 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
34800 |
Modular degree for the optimal curve |
Δ |
-679942336250 = -1 · 2 · 54 · 19 · 315 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 2 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1874,-24302] |
[a1,a2,a3,a4,a6] |
j |
1165428269975/1087907738 |
j-invariant |
L |
2.4807639707086 |
L(r)(E,1)/r! |
Ω |
0.49615279414176 |
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 |
29450r2 |
Quadratic twists by: 5 |