Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bn |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
50272425073704960 = 218 · 37 · 5 · 72 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-995873,382616561] |
[a1,a2,a3,a4,a6] |
Generators |
[-777:26596:1] |
Generators of the group modulo torsion |
j |
149833059945108329161/68960802570240 |
j-invariant |
L |
9.1028825062609 |
L(r)(E,1)/r! |
Ω |
0.3509702414199 |
Real period |
R |
2.1613614280192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
14910y3 |
Quadratic twists by: -3 |