Atkin-Lehner |
2+ 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
42600b |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
110419200 = 28 · 35 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 5 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148,-428] |
[a1,a2,a3,a4,a6] |
j |
56397520/17253 |
j-invariant |
L |
2.8011731612313 |
L(r)(E,1)/r! |
Ω |
1.4005865805909 |
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 |
85200v1 127800bk1 42600bj1 |
Quadratic twists by: -4 -3 5 |