Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3480c |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
3006720 = 28 · 34 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60,180] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:18:1] |
Generators of the group modulo torsion |
j |
94875856/11745 |
j-invariant |
L |
2.9510867997443 |
L(r)(E,1)/r! |
Ω |
2.4452011547781 |
Real period |
R |
1.2068891730963 |
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 |
6960t1 27840bn1 10440t1 17400bn1 |
Quadratic twists by: -4 8 -3 5 |