Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17400m |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-13593750000 = -1 · 24 · 3 · 510 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -1 3 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,592,-687] |
[a1,a2,a3,a4,a6] |
Generators |
[48:375:1] |
Generators of the group modulo torsion |
j |
91625216/54375 |
j-invariant |
L |
6.4018883898845 |
L(r)(E,1)/r! |
Ω |
0.73485813215837 |
Real period |
R |
2.1779334369892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34800h1 52200br1 3480n1 |
Quadratic twists by: -4 -3 5 |