Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038s |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3256320 |
Modular degree for the optimal curve |
Δ |
-2.0855372728423E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 -6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15411384,-23284025024] |
[a1,a2,a3,a4,a6] |
j |
-11332482180988990520401/583840674349056 |
j-invariant |
L |
0.30478794806314 |
L(r)(E,1)/r! |
Ω |
0.038098493657476 |
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 |
17346v1 52038b1 |
Quadratic twists by: -3 -7 |