Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840cb |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-2311269259663872000 = -1 · 212 · 39 · 53 · 475 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 6 3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17283,73150018] |
[a1,a2,a3,a4,a6] |
j |
-191202526081/774039398625 |
j-invariant |
L |
4.1556079769931 |
L(r)(E,1)/r! |
Ω |
0.20778039884959 |
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 |
2115d1 11280z1 |
Quadratic twists by: -4 -3 |