Atkin-Lehner |
2- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
75166v |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
440 |
Product of Tamagawa factors cp |
deg |
59136000 |
Modular degree for the optimal curve |
Δ |
-4.0517061435196E+27 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 6 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-121588356,-3105730946683] |
[a1,a2,a3,a4,a6] |
Generators |
[520815:35217931:27] |
Generators of the group modulo torsion |
j |
-1689707109700724952181681/34438933977505643063296 |
j-invariant |
L |
15.410882895261 |
L(r)(E,1)/r! |
Ω |
0.018960976324609 |
Real period |
R |
1.8472009697573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10738e1 |
Quadratic twists by: -7 |