Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
88935cc |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-12588433808671875 = -1 · 3 · 57 · 79 · 113 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 11+ 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-134570,19707881] |
[a1,a2,a3,a4,a6] |
j |
-5017776128/234375 |
j-invariant |
L |
11.083819403056 |
L(r)(E,1)/r! |
Ω |
0.39585069119882 |
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 |
88935h1 88935cd1 |
Quadratic twists by: -7 -11 |