Atkin-Lehner |
2- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33040j |
Isogeny class |
Conductor |
33040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-311897600000 = -1 · 212 · 55 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 5 3 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,128,26864] |
[a1,a2,a3,a4,a6] |
j |
56623104/76146875 |
j-invariant |
L |
7.573872709216 |
L(r)(E,1)/r! |
Ω |
0.75738727092201 |
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 |
2065a1 |
Quadratic twists by: -4 |