Atkin-Lehner |
7+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
121849c |
Isogeny class |
Conductor |
121849 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
231168 |
Modular degree for the optimal curve |
Δ |
-316691765299 = -1 · 72 · 137 · 103 |
Discriminant |
Eigenvalues |
2 -2 -1 7+ 0 13+ 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-56,27057] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:1179:8] |
Generators of the group modulo torsion |
j |
-4096/65611 |
j-invariant |
L |
6.9063346512772 |
L(r)(E,1)/r! |
Ω |
0.77256514088479 |
Real period |
R |
1.1174356702063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998311929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9373d1 |
Quadratic twists by: 13 |