Atkin-Lehner |
2+ 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
112338j |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
3583910310632937216 = 28 · 36 · 797 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 2 -5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-487968,94554368] |
[a1,a2,a3,a4,a6] |
Generators |
[320080:15467424:125] |
Generators of the group modulo torsion |
j |
72511713/20224 |
j-invariant |
L |
7.9789444836016 |
L(r)(E,1)/r! |
Ω |
0.23265698598098 |
Real period |
R |
4.2868605810645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999833469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12482i1 1422d1 |
Quadratic twists by: -3 -79 |