Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76880s |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
71000294480 = 24 · 5 · 316 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1281,11710] |
[a1,a2,a3,a4,a6] |
Generators |
[-2460:4805:64] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
3.4505082289347 |
L(r)(E,1)/r! |
Ω |
1.014545500817 |
Real period |
R |
3.4010384232941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19220b1 80b2 |
Quadratic twists by: -4 -31 |