Atkin-Lehner |
2- 3+ 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330ba |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
430848 |
Modular degree for the optimal curve |
Δ |
-1150334331125760 = -1 · 217 · 39 · 5 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8827,1598077] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:896:1] |
Generators of the group modulo torsion |
j |
3864719017557/58443038720 |
j-invariant |
L |
10.767063316262 |
L(r)(E,1)/r! |
Ω |
0.36240637929156 |
Real period |
R |
0.87382107745886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66330i1 |
Quadratic twists by: -3 |