Atkin-Lehner |
2- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18352l |
Isogeny class |
Conductor |
18352 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7056 |
Modular degree for the optimal curve |
Δ |
-18352 = -1 · 24 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 0 2 -1 6 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3704,86767] |
[a1,a2,a3,a4,a6] |
j |
-351250267373568/1147 |
j-invariant |
L |
2.5759560896726 |
L(r)(E,1)/r! |
Ω |
2.5759560896726 |
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 |
4588b1 73408be1 |
Quadratic twists by: -4 8 |