Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59328s |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[-176:756:1] |
Generators of the group modulo torsion |
j |
-65645911304/18246141 |
j-invariant |
L |
7.6770890244798 |
L(r)(E,1)/r! |
Ω |
0.50237024485809 |
Real period |
R |
3.8204337851041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328j1 29664h1 19776g1 |
Quadratic twists by: -4 8 -3 |