Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
11700q |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
60652800 = 28 · 36 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120,340] |
[a1,a2,a3,a4,a6] |
j |
40960/13 |
j-invariant |
L |
1.8233550554026 |
L(r)(E,1)/r! |
Ω |
1.8233550554026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800dx1 1300c1 11700t1 |
Quadratic twists by: -4 -3 5 |