Atkin-Lehner |
3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461y |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
179630021846457 = 312 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 3- -4 7- -6 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-115772,-15119170] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:154:1] |
Generators of the group modulo torsion |
j |
2000852317801/2094417 |
j-invariant |
L |
1.6672988482748 |
L(r)(E,1)/r! |
Ω |
0.2588369406806 |
Real period |
R |
3.2207513276583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32487r1 1989d1 |
Quadratic twists by: -3 -7 |