Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975cp |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1444608 |
Modular degree for the optimal curve |
Δ |
925592671879858125 = 312 · 54 · 118 · 13 |
Discriminant |
Eigenvalues |
0 3- 5- 2 11- 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-354933,-67063606] |
[a1,a2,a3,a4,a6] |
Generators |
[738:8572:1] |
Generators of the group modulo torsion |
j |
36909875200/6908733 |
j-invariant |
L |
8.1529985876751 |
L(r)(E,1)/r! |
Ω |
0.1981297060321 |
Real period |
R |
3.4291503448933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882155 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
117975g1 117975cl1 |
Quadratic twists by: 5 -11 |