Atkin-Lehner |
3- 5+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
17355k |
Isogeny class |
Conductor |
17355 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-91374075 = -1 · 35 · 52 · 132 · 89 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 -6 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-46,460] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:19:1] [-1:22:1] |
Generators of the group modulo torsion |
j |
-11000295424/91374075 |
j-invariant |
L |
4.0203419671147 |
L(r)(E,1)/r! |
Ω |
1.6326274190758 |
Real period |
R |
0.12312490652003 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52065p1 86775d1 |
Quadratic twists by: -3 5 |