Atkin-Lehner |
2- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117208k |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-2465573012577584 = -1 · 24 · 78 · 133 · 233 |
Discriminant |
Eigenvalues |
2- -3 2 7+ -1 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,686,-2388995] |
[a1,a2,a3,a4,a6] |
Generators |
[170:1625:1] |
Generators of the group modulo torsion |
j |
387072/26730899 |
j-invariant |
L |
4.4615630404442 |
L(r)(E,1)/r! |
Ω |
0.21087951703396 |
Real period |
R |
3.526154829796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000169174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117208n1 |
Quadratic twists by: -7 |