Atkin-Lehner |
3- 5+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
118275i |
Isogeny class |
Conductor |
118275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
-6644763421875 = -1 · 32 · 56 · 193 · 832 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 -3 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1908,127469] |
[a1,a2,a3,a4,a6] |
j |
-49188818944/425264859 |
j-invariant |
L |
7.7006979627819 |
L(r)(E,1)/r! |
Ω |
0.64172492578647 |
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 |
4731b1 |
Quadratic twists by: 5 |