Atkin-Lehner |
2- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150cu |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
13996800 |
Modular degree for the optimal curve |
Δ |
-4.1058398887698E+22 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 0 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22007763,-40926092719] |
[a1,a2,a3,a4,a6] |
j |
-25650931455188545/893416018432 |
j-invariant |
L |
5.0084096364134 |
L(r)(E,1)/r! |
Ω |
0.034780624264395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150r1 16450t1 |
Quadratic twists by: 5 -7 |