Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66759h |
Isogeny class |
Conductor |
66759 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
1.2938392821856E+19 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38668784,92549271903] |
[a1,a2,a3,a4,a6] |
Generators |
[-1319:376504:1] |
Generators of the group modulo torsion |
j |
264918160154242157473/536027170833 |
j-invariant |
L |
3.265043433679 |
L(r)(E,1)/r! |
Ω |
0.19289063902266 |
Real period |
R |
1.6926914913037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3927d1 |
Quadratic twists by: 17 |