Atkin-Lehner |
2+ 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74958n |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
199920 |
Modular degree for the optimal curve |
Δ |
23155708737408 = 27 · 3 · 137 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7755,-125066] |
[a1,a2,a3,a4,a6] |
j |
53661798694633/24095430528 |
j-invariant |
L |
3.7140111344037 |
L(r)(E,1)/r! |
Ω |
0.53057302239861 |
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 |
74958a1 |
Quadratic twists by: -31 |