Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150z |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
29030400 |
Modular degree for the optimal curve |
Δ |
8.4605675331268E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59469651,170876449198] |
[a1,a2,a3,a4,a6] |
j |
2502660030961609/91031454720 |
j-invariant |
L |
2.1216319905772 |
L(r)(E,1)/r! |
Ω |
0.088401307468087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230o1 4350s1 |
Quadratic twists by: 5 29 |