Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
31600r |
Isogeny class |
Conductor |
31600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
20224000000 = 214 · 56 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 -4 7 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,-18688] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:34:1] |
Generators of the group modulo torsion |
j |
4826809/316 |
j-invariant |
L |
3.866483411869 |
L(r)(E,1)/r! |
Ω |
0.78253645629286 |
Real period |
R |
2.4704813307904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3950g1 126400cb1 1264g1 |
Quadratic twists by: -4 8 5 |