Atkin-Lehner |
5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69575d |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
988416 |
Modular degree for the optimal curve |
Δ |
-1165157745748046875 = -1 · 59 · 1110 · 23 |
Discriminant |
Eigenvalues |
0 0 5+ 0 11- -4 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-732050,-246609344] |
[a1,a2,a3,a4,a6] |
j |
-107053056/2875 |
j-invariant |
L |
0.65183272676421 |
L(r)(E,1)/r! |
Ω |
0.081479090663997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915j1 69575c1 |
Quadratic twists by: 5 -11 |