Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960v |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
102144763410000 = 24 · 3 · 54 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16575,-667500] |
[a1,a2,a3,a4,a6] |
j |
212629504/43125 |
j-invariant |
L |
7.6814145700263 |
L(r)(E,1)/r! |
Ω |
0.42674526301331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63480d1 5520e1 |
Quadratic twists by: -4 -23 |