Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968w |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-221187649536 = -1 · 212 · 33 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 1 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6925,220667] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:588:1] |
Generators of the group modulo torsion |
j |
-76225024/459 |
j-invariant |
L |
9.3008121170277 |
L(r)(E,1)/r! |
Ω |
1.0012080090653 |
Real period |
R |
0.77413251733398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968c1 1632c1 |
Quadratic twists by: -4 -7 |