Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59328bg |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-4783116386304 = -1 · 218 · 311 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 2 2 5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,131344] |
[a1,a2,a3,a4,a6] |
Generators |
[50:288:1] |
Generators of the group modulo torsion |
j |
-24137569/25029 |
j-invariant |
L |
6.4753824053422 |
L(r)(E,1)/r! |
Ω |
0.70104818851989 |
Real period |
R |
1.1545893904538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328r1 14832h1 19776bc1 |
Quadratic twists by: -4 8 -3 |