Atkin-Lehner |
3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17661c |
Isogeny class |
Conductor |
17661 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
19905600 |
Modular degree for the optimal curve |
Δ |
8.5860280961723E+27 |
Discriminant |
Eigenvalues |
1 3+ -3 7- -6 -6 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-916687494,9707579234739] |
[a1,a2,a3,a4,a6] |
Generators |
[5366:2220643:1] |
Generators of the group modulo torsion |
j |
170295687079857398473/17163597526568829 |
j-invariant |
L |
2.5005600877093 |
L(r)(E,1)/r! |
Ω |
0.04009359859219 |
Real period |
R |
4.7975433169301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52983l1 123627w1 17661i1 |
Quadratic twists by: -3 -7 29 |