Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200bh |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
60229980000000000 = 211 · 311 · 510 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 1 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-406875,-99193750] |
[a1,a2,a3,a4,a6] |
j |
510915650/4131 |
j-invariant |
L |
1.5129900286015 |
L(r)(E,1)/r! |
Ω |
0.18912375354853 |
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 |
30600cb1 20400g1 61200co1 |
Quadratic twists by: -4 -3 5 |