Atkin-Lehner |
2+ 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59328j |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-435861480701952 = -1 · 215 · 317 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 5 -4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24204,-1763408] |
[a1,a2,a3,a4,a6] |
j |
-65645911304/18246141 |
j-invariant |
L |
1.509250445626 |
L(r)(E,1)/r! |
Ω |
0.18865630577749 |
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 |
59328s1 29664a1 19776o1 |
Quadratic twists by: -4 8 -3 |