Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950ce |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-324673592320000000 = -1 · 216 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35755,27546747] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:5546:1] |
Generators of the group modulo torsion |
j |
-2749884201/176619520 |
j-invariant |
L |
7.3575400655193 |
L(r)(E,1)/r! |
Ω |
0.25198010961744 |
Real period |
R |
0.91246538227381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390d1 3850n1 |
Quadratic twists by: 5 -7 |