Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350cf |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-13641019700 = -1 · 22 · 52 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- -2 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,542,2872] |
[a1,a2,a3,a4,a6] |
j |
397535/308 |
j-invariant |
L |
3.2243120682701 |
L(r)(E,1)/r! |
Ω |
0.80607801703744 |
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 |
42350bn1 3850a1 |
Quadratic twists by: 5 -11 |