Atkin-Lehner |
3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
114975p |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1090560 |
Modular degree for the optimal curve |
Δ |
67081358925 = 37 · 52 · 75 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 5 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4725570,3953933991] |
[a1,a2,a3,a4,a6] |
Generators |
[80324:-23:64] |
Generators of the group modulo torsion |
j |
640352010539722178560/3680733 |
j-invariant |
L |
6.0822975748509 |
L(r)(E,1)/r! |
Ω |
0.53437556236759 |
Real period |
R |
2.8455163334993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38325k1 114975bm1 |
Quadratic twists by: -3 5 |