Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320q |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-506101893120 = -1 · 211 · 313 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -3 -6 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2307,-54686] |
[a1,a2,a3,a4,a6] |
j |
-909513218/338985 |
j-invariant |
L |
1.3526010188478 |
L(r)(E,1)/r! |
Ω |
0.33815025471196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11160g1 89280eq1 7440f1 111600bj1 |
Quadratic twists by: -4 8 -3 5 |