Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93024o |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
97055104512578112 = 26 · 38 · 173 · 196 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-551181,-156788404] |
[a1,a2,a3,a4,a6] |
Generators |
[26984:4430914:1] |
Generators of the group modulo torsion |
j |
396916291562341312/2080227720177 |
j-invariant |
L |
4.1153348596422 |
L(r)(E,1)/r! |
Ω |
0.17527219194785 |
Real period |
R |
3.9132798896722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93024bi1 31008l1 |
Quadratic twists by: -4 -3 |