Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970bp |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
34298880 |
Modular degree for the optimal curve |
Δ |
-1.6504964934977E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,116743716,-382572246960] |
[a1,a2,a3,a4,a6] |
j |
41870910074901457151/39273784934400000 |
j-invariant |
L |
1.8828900639728 |
L(r)(E,1)/r! |
Ω |
0.031381500628537 |
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 |
24990bv1 74970x1 |
Quadratic twists by: -3 -7 |