Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525j |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-23306961003046875 = -1 · 37 · 57 · 7 · 117 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 11- -2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-382158,-91100032] |
[a1,a2,a3,a4,a6] |
j |
-222985990144/841995 |
j-invariant |
L |
0.7678927230708 |
L(r)(E,1)/r! |
Ω |
0.095986590609381 |
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 |
12705l1 5775j1 |
Quadratic twists by: 5 -11 |