Atkin-Lehner |
2- 3- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402bj |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-560102965115904 = -1 · 210 · 314 · 7 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 6 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13666,-961747] |
[a1,a2,a3,a4,a6] |
Generators |
[61:279:1] |
Generators of the group modulo torsion |
j |
387213263968103/768316824576 |
j-invariant |
L |
12.0184606101 |
L(r)(E,1)/r! |
Ω |
0.2703446516265 |
Real period |
R |
2.2228034727352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134o1 |
Quadratic twists by: -3 |