Atkin-Lehner |
2+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550i |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1398381875000 = -1 · 23 · 57 · 113 · 412 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 11- -4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,458,-56884] |
[a1,a2,a3,a4,a6] |
Generators |
[1173:5051:27] |
Generators of the group modulo torsion |
j |
679151439/89496440 |
j-invariant |
L |
6.7934698203812 |
L(r)(E,1)/r! |
Ω |
0.40405769307716 |
Real period |
R |
1.4010931971629 |
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 |
4510l1 |
Quadratic twists by: 5 |