Atkin-Lehner |
2+ 3- 5- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
92430s |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
778752 |
Modular degree for the optimal curve |
Δ |
4139917516800 = 213 · 39 · 52 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 2 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1633554,-803207340] |
[a1,a2,a3,a4,a6] |
Generators |
[-1064408133:535343469:1442897] |
Generators of the group modulo torsion |
j |
661297406695376993569/5678899200 |
j-invariant |
L |
5.4858872826059 |
L(r)(E,1)/r! |
Ω |
0.13354147492845 |
Real period |
R |
10.27000653587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30810bf1 |
Quadratic twists by: -3 |