Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325bd |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
3.8081941726322E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- 1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-77340000,261773953906] |
[a1,a2,a3,a4,a6] |
j |
7186354610687180800/534923296677 |
j-invariant |
L |
1.8618460307577 |
L(r)(E,1)/r! |
Ω |
0.13298900219698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5775g1 17325bn1 121275dq1 |
Quadratic twists by: -3 5 -7 |