Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200di |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
15800625000000 = 26 · 32 · 510 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22158,1247688] |
[a1,a2,a3,a4,a6] |
j |
1203192139456/15800625 |
j-invariant |
L |
5.5998047367804 |
L(r)(E,1)/r! |
Ω |
0.69997561562436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127200cd1 25440b1 |
Quadratic twists by: -4 5 |