Atkin-Lehner |
2- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450bw |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
60507351296000000 = 214 · 56 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-103538,-4979969] |
[a1,a2,a3,a4,a6] |
j |
66775173193/32915456 |
j-invariant |
L |
7.8371709029555 |
L(r)(E,1)/r! |
Ω |
0.27989895673515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4018i1 14350m1 |
Quadratic twists by: 5 -7 |