Atkin-Lehner |
5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33635a |
Isogeny class |
Conductor |
33635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-8257223310063875 = -1 · 53 · 74 · 317 |
Discriminant |
Eigenvalues |
0 3 5+ 7+ -4 2 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1922,4371829] |
[a1,a2,a3,a4,a6] |
j |
884736/9303875 |
j-invariant |
L |
2.6123104415692 |
L(r)(E,1)/r! |
Ω |
0.32653880519849 |
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 |
1085a1 |
Quadratic twists by: -31 |