Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
88935h |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-106999921875 = -1 · 3 · 57 · 73 · 113 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11+ -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2746,-56673] |
[a1,a2,a3,a4,a6] |
j |
-5017776128/234375 |
j-invariant |
L |
1.3154022732721 |
L(r)(E,1)/r! |
Ω |
0.32885056145745 |
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 |
88935cc1 88935i1 |
Quadratic twists by: -7 -11 |