Atkin-Lehner |
2- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43378k |
Isogeny class |
Conductor |
43378 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8352 |
Modular degree for the optimal curve |
Δ |
-173512 = -1 · 23 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 2 2 5 -2 -3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57,143] |
[a1,a2,a3,a4,a6] |
j |
-38758657/328 |
j-invariant |
L |
9.6890971716166 |
L(r)(E,1)/r! |
Ω |
3.2296990572637 |
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 |
43378l1 |
Quadratic twists by: -23 |