Atkin-Lehner |
2- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79184p |
Isogeny class |
Conductor |
79184 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-2384875114496 = -1 · 212 · 78 · 101 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ -4 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22752,1330624] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-98:1] [90:62:1] |
Generators of the group modulo torsion |
j |
-55164193/101 |
j-invariant |
L |
6.6868979675488 |
L(r)(E,1)/r! |
Ω |
0.81730892087937 |
Real period |
R |
1.3636006730029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4949a1 79184y1 |
Quadratic twists by: -4 -7 |