Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26775bl |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-8226434671875 = -1 · 37 · 56 · 72 · 173 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -1 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4425,78781] |
[a1,a2,a3,a4,a6] |
Generators |
[4322:101237:8] |
Generators of the group modulo torsion |
j |
841232384/722211 |
j-invariant |
L |
10.852048601829 |
L(r)(E,1)/r! |
Ω |
0.47834862175438 |
Real period |
R |
5.6716211296003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8925j1 1071b1 |
Quadratic twists by: -3 5 |