Atkin-Lehner |
2- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33040h |
Isogeny class |
Conductor |
33040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-165781504000 = -1 · 216 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 3 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,280,-19600] |
[a1,a2,a3,a4,a6] |
j |
590589719/40474000 |
j-invariant |
L |
2.9176723919747 |
L(r)(E,1)/r! |
Ω |
0.48627873199476 |
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 |
4130b1 |
Quadratic twists by: -4 |