Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59328bh |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1889626226688 = -1 · 223 · 37 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -1 4 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,65936] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:216:1] |
Generators of the group modulo torsion |
j |
103823/9888 |
j-invariant |
L |
6.0579405782467 |
L(r)(E,1)/r! |
Ω |
0.63812213700742 |
Real period |
R |
2.3733468197956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328t1 14832j1 19776v1 |
Quadratic twists by: -4 8 -3 |