Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4350h |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
1174500000000 = 28 · 34 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6075,172125] |
[a1,a2,a3,a4,a6] |
Generators |
[35:45:1] |
Generators of the group modulo torsion |
j |
12698260037/601344 |
j-invariant |
L |
2.4090306436677 |
L(r)(E,1)/r! |
Ω |
0.85639129452856 |
Real period |
R |
1.4065011280818 |
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 |
34800dv1 13050br1 4350bb1 126150dg1 |
Quadratic twists by: -4 -3 5 29 |