Atkin-Lehner |
5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
4355b |
Isogeny class |
Conductor |
4355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-5772824346176875 = -1 · 54 · 1310 · 67 |
Discriminant |
Eigenvalues |
-2 0 5+ 0 2 13+ -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-321383,-70221762] |
[a1,a2,a3,a4,a6] |
j |
-3671067867220377391104/5772824346176875 |
j-invariant |
L |
0.40098939761394 |
L(r)(E,1)/r! |
Ω |
0.10024734940348 |
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 |
69680k1 39195v1 21775e1 56615e1 |
Quadratic twists by: -4 -3 5 13 |