Atkin-Lehner |
3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935be |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-58594380075 = -1 · 33 · 52 · 72 · 116 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11- -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,565,-10627] |
[a1,a2,a3,a4,a6] |
j |
229376/675 |
j-invariant |
L |
2.2812726605814 |
L(r)(E,1)/r! |
Ω |
0.57031814408541 |
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 |
88935bm1 735c1 |
Quadratic twists by: -7 -11 |