Atkin-Lehner |
13+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83317d |
Isogeny class |
Conductor |
83317 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3302208 |
Modular degree for the optimal curve |
Δ |
-1.1903947869309E+21 |
Discriminant |
Eigenvalues |
1 0 2 5 0 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1308176,1757371409] |
[a1,a2,a3,a4,a6] |
j |
-51293497953529377/246621481589773 |
j-invariant |
L |
3.3404753783701 |
L(r)(E,1)/r! |
Ω |
0.1336190186691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
493a1 |
Quadratic twists by: 13 |