Atkin-Lehner |
2+ 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
80106d |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-38881529856 = -1 · 212 · 32 · 132 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 0 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-497,10197] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:123:1] [2:-97:1] |
Generators of the group modulo torsion |
j |
-80588082289/230068224 |
j-invariant |
L |
7.577678442158 |
L(r)(E,1)/r! |
Ω |
1.0139642383712 |
Real period |
R |
0.93416490386394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80106y1 |
Quadratic twists by: 13 |