Atkin-Lehner |
3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66759b |
Isogeny class |
Conductor |
66759 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2820096 |
Modular degree for the optimal curve |
Δ |
-4.3354957566304E+21 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 11- -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1519755,-3085284346] |
[a1,a2,a3,a4,a6] |
Generators |
[187080:6298961:125] |
Generators of the group modulo torsion |
j |
55648414859264/621508960611 |
j-invariant |
L |
3.6757410411826 |
L(r)(E,1)/r! |
Ω |
0.068015923147577 |
Real period |
R |
4.5035300449918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66759j1 |
Quadratic twists by: 17 |