Atkin-Lehner |
3- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12243j |
Isogeny class |
Conductor |
12243 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
5200 |
Modular degree for the optimal curve |
Δ |
-6506432163 = -1 · 313 · 7 · 11 · 53 |
Discriminant |
Eigenvalues |
0 3- 0 7- 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-693,7796] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:121:1] |
Generators of the group modulo torsion |
j |
-36859543552000/6506432163 |
j-invariant |
L |
4.8162540674422 |
L(r)(E,1)/r! |
Ω |
1.2848914296995 |
Real period |
R |
0.28833648785219 |
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 |
36729s1 85701o1 |
Quadratic twists by: -3 -7 |