Atkin-Lehner |
2+ 3+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
80106g |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
153557434368 = 215 · 33 · 133 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 0 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1784,21312] |
[a1,a2,a3,a4,a6] |
j |
286060914469/69894144 |
j-invariant |
L |
1.9270914223528 |
L(r)(E,1)/r! |
Ω |
0.96354568551972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80106bc1 |
Quadratic twists by: 13 |