Atkin-Lehner |
5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33925a |
Isogeny class |
Conductor |
33925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-9493605925 = -1 · 52 · 235 · 59 |
Discriminant |
Eigenvalues |
1 2 5+ 3 -4 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,455,3030] |
[a1,a2,a3,a4,a6] |
j |
415265300735/379744237 |
j-invariant |
L |
3.3837161211345 |
L(r)(E,1)/r! |
Ω |
0.84592903028143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33925f1 |
Quadratic twists by: 5 |