Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350m |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
1579375000000 = 26 · 510 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-111576,-14354202] |
[a1,a2,a3,a4,a6] |
j |
43573579225/448 |
j-invariant |
L |
0.52244314642213 |
L(r)(E,1)/r! |
Ω |
0.26122070179258 |
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 |
126350dt1 126350cb1 |
Quadratic twists by: 5 -19 |