Atkin-Lehner |
3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35685g |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-9841277636775 = -1 · 37 · 52 · 13 · 614 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10980,-465125] |
[a1,a2,a3,a4,a6] |
j |
-200828550012481/13499694975 |
j-invariant |
L |
1.8583418535325 |
L(r)(E,1)/r! |
Ω |
0.23229273169494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895e1 |
Quadratic twists by: -3 |