Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81796j |
Isogeny class |
Conductor |
81796 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
14699216598352 = 24 · 114 · 137 |
Discriminant |
Eigenvalues |
2- -1 -4 0 11- 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27265,1732106] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:1859:1] |
Generators of the group modulo torsion |
j |
1982464/13 |
j-invariant |
L |
3.2583586253758 |
L(r)(E,1)/r! |
Ω |
0.70571460084899 |
Real period |
R |
0.12825292527455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81796k1 6292j1 |
Quadratic twists by: -11 13 |