Atkin-Lehner |
2- 3+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
14790r |
Isogeny class |
Conductor |
14790 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-744071884800 = -1 · 212 · 3 · 52 · 174 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6120,186345] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:623:1] |
Generators of the group modulo torsion |
j |
-25350259755070081/744071884800 |
j-invariant |
L |
6.3255017557686 |
L(r)(E,1)/r! |
Ω |
0.89683506896165 |
Real period |
R |
1.175523046672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118320cr1 44370e1 73950bd1 |
Quadratic twists by: -4 -3 5 |