Atkin-Lehner |
5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69575i |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-385176114296875 = -1 · 57 · 118 · 23 |
Discriminant |
Eigenvalues |
-2 2 5+ 3 11- 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1008,944668] |
[a1,a2,a3,a4,a6] |
j |
-4096/13915 |
j-invariant |
L |
1.7170213920065 |
L(r)(E,1)/r! |
Ω |
0.42925535495521 |
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 |
13915l1 6325a1 |
Quadratic twists by: 5 -11 |