Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325r |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2.2841979091957E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-710442,-15571409] |
[a1,a2,a3,a4,a6] |
Generators |
[914:9443:1] |
Generators of the group modulo torsion |
j |
3481467828171481/2005331497785 |
j-invariant |
L |
5.2490480021856 |
L(r)(E,1)/r! |
Ω |
0.17905796615253 |
Real period |
R |
2.4428997840631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775d1 3465l1 121275ek1 |
Quadratic twists by: -3 5 -7 |