Atkin-Lehner |
2+ 3- 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458j |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
58480128 |
Modular degree for the optimal curve |
Δ |
-2.5569260176317E+28 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- -1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-318371739,7998135184421] |
[a1,a2,a3,a4,a6] |
j |
-4895529968138367151960292529/35074430968885241062621184 |
j-invariant |
L |
1.3606415384341 |
L(r)(E,1)/r! |
Ω |
0.032396227606717 |
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 |
8162e1 |
Quadratic twists by: -3 |