Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346bb |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-10925482176 = -1 · 26 · 310 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1345,19529] |
[a1,a2,a3,a4,a6] |
Generators |
[20:17:1] |
Generators of the group modulo torsion |
j |
-5491799407969/222969024 |
j-invariant |
L |
9.7018162135351 |
L(r)(E,1)/r! |
Ω |
1.2693883904342 |
Real period |
R |
0.12738176755889 |
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 |
52038l1 17346s1 |
Quadratic twists by: -3 -7 |