Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504y |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-1803066678378496 = -1 · 216 · 317 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29471,627711] |
[a1,a2,a3,a4,a6] |
Generators |
[10:961:1] [861:25788:1] |
Generators of the group modulo torsion |
j |
48668/31 |
j-invariant |
L |
6.6714091487013 |
L(r)(E,1)/r! |
Ω |
0.29257668733243 |
Real period |
R |
5.7005645336266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61504by1 7688l1 1984d1 |
Quadratic twists by: -4 8 -31 |