Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42600q |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57408 |
Modular degree for the optimal curve |
Δ |
45278773200 = 24 · 313 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -1 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12703,555232] |
[a1,a2,a3,a4,a6] |
j |
566782983485440/113196933 |
j-invariant |
L |
2.2081810804016 |
L(r)(E,1)/r! |
Ω |
1.1040905402615 |
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 |
85200z1 127800w1 42600k1 |
Quadratic twists by: -4 -3 5 |