Atkin-Lehner |
7- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
79261h |
Isogeny class |
Conductor |
79261 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107424 |
Modular degree for the optimal curve |
Δ |
-1030393 = -1 · 7 · 133 · 67 |
Discriminant |
Eigenvalues |
1 -2 -4 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16943,847407] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-39:1] |
Generators of the group modulo torsion |
j |
-244809203122693/469 |
j-invariant |
L |
2.3188239478691 |
L(r)(E,1)/r! |
Ω |
1.7969317038177 |
Real period |
R |
0.64521760743127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79261b1 |
Quadratic twists by: 13 |