Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2706h |
Isogeny class |
Conductor |
2706 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-6817561344 = -1 · 28 · 310 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11- -2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-479,5618] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-236:1] |
Generators of the group modulo torsion |
j |
-12117869279209/6817561344 |
j-invariant |
L |
2.936673340844 |
L(r)(E,1)/r! |
Ω |
1.235235765605 |
Real period |
R |
0.11887096466178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21648n1 86592b1 8118l1 67650bx1 |
Quadratic twists by: -4 8 -3 5 |