Atkin-Lehner |
5+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
33575d |
Isogeny class |
Conductor |
33575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24640 |
Modular degree for the optimal curve |
Δ |
103096234375 = 56 · 174 · 79 |
Discriminant |
Eigenvalues |
1 -1 5+ -1 -2 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1250,6625] |
[a1,a2,a3,a4,a6] |
j |
13841287201/6598159 |
j-invariant |
L |
1.892085118351 |
L(r)(E,1)/r! |
Ω |
0.94604255918268 |
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 |
1343a1 |
Quadratic twists by: 5 |