Atkin-Lehner |
2- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
104060g |
Isogeny class |
Conductor |
104060 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
805840640 = 28 · 5 · 114 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4396,110724] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:462:1] [-44:470:1] |
Generators of the group modulo torsion |
j |
2507176144/215 |
j-invariant |
L |
7.8832657486359 |
L(r)(E,1)/r! |
Ω |
1.5183879862605 |
Real period |
R |
5.1918652017788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999632 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104060e1 |
Quadratic twists by: -11 |