Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
95680bi |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
59800000 = 26 · 55 · 13 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -2 13- -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156,706] |
[a1,a2,a3,a4,a6] |
Generators |
[3:16:1] |
Generators of the group modulo torsion |
j |
6602349376/934375 |
j-invariant |
L |
4.5286425982062 |
L(r)(E,1)/r! |
Ω |
1.8972507041521 |
Real period |
R |
2.3869500160202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680bn1 47840f1 |
Quadratic twists by: -4 8 |