Atkin-Lehner |
7- 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
116081b |
Isogeny class |
Conductor |
116081 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
121344 |
Modular degree for the optimal curve |
Δ |
-314106712087 = -1 · 78 · 232 · 103 |
Discriminant |
Eigenvalues |
1 -2 2 7- -2 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2525,55563] |
[a1,a2,a3,a4,a6] |
Generators |
[214:575:8] |
Generators of the group modulo torsion |
j |
-15124197817/2669863 |
j-invariant |
L |
3.9919846651107 |
L(r)(E,1)/r! |
Ω |
0.93015343775638 |
Real period |
R |
2.1458742999331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998771513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16583a1 |
Quadratic twists by: -7 |