Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200hh |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
4032000 |
Modular degree for the optimal curve |
Δ |
2.0961336511808E+21 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6932000,6670540000] |
[a1,a2,a3,a4,a6] |
j |
5755981643735040/327520882997 |
j-invariant |
L |
2.1689967975474 |
L(r)(E,1)/r! |
Ω |
0.14459985887063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200ct1 30800cv1 123200dv1 |
Quadratic twists by: -4 8 5 |