Atkin-Lehner |
2+ 3+ 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370g |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7599381768000 = 26 · 36 · 53 · 114 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2768256002,-56061720838476] |
[a1,a2,a3,a4,a6] |
Generators |
[-80610544844440488654171239:40305295862824799629476477:2653648537395999432367] |
Generators of the group modulo torsion |
j |
2346078086370715866851393871595561/7599381768000 |
j-invariant |
L |
3.7998495224618 |
L(r)(E,1)/r! |
Ω |
0.020813637772687 |
Real period |
R |
30.427561998541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88110cc4 |
Quadratic twists by: -3 |