Atkin-Lehner |
5+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
59675i |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
160200 |
Modular degree for the optimal curve |
Δ |
-2097757721675 = -1 · 52 · 75 · 115 · 31 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 11- -6 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-698,70278] |
[a1,a2,a3,a4,a6] |
j |
-1506510008320/83910308867 |
j-invariant |
L |
0.68335819440821 |
L(r)(E,1)/r! |
Ω |
0.6833581973723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
59675o2 |
Quadratic twists by: 5 |