Atkin-Lehner |
2- 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290be |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-7692362437500 = -1 · 22 · 39 · 56 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1267,-132623] |
[a1,a2,a3,a4,a6] |
j |
11436248277/390812500 |
j-invariant |
L |
5.7078682020583 |
L(r)(E,1)/r! |
Ω |
0.35674176262029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43290c1 |
Quadratic twists by: -3 |