Atkin-Lehner |
2+ 7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
111622h |
Isogeny class |
Conductor |
111622 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
7677584404 = 22 · 73 · 174 · 67 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 0 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-740,6430] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:127:1] [-10:687:8] |
Generators of the group modulo torsion |
j |
130400972911/22383628 |
j-invariant |
L |
8.1977696682789 |
L(r)(E,1)/r! |
Ω |
1.2567851157452 |
Real period |
R |
0.4076755826148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111622e1 |
Quadratic twists by: -7 |