Atkin-Lehner |
2- 3- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bm |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
119018180250000 = 24 · 39 · 56 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5300033,-4695084223] |
[a1,a2,a3,a4,a6] |
Generators |
[6021:423184:1] |
Generators of the group modulo torsion |
j |
22585610178197997061321/163262250000 |
j-invariant |
L |
10.284501073989 |
L(r)(E,1)/r! |
Ω |
0.099501566441286 |
Real period |
R |
6.4600120325634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190r1 |
Quadratic twists by: -3 |