Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11700t |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
947700000000 = 28 · 36 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3000,42500] |
[a1,a2,a3,a4,a6] |
j |
40960/13 |
j-invariant |
L |
2.4462875105989 |
L(r)(E,1)/r! |
Ω |
0.81542917019963 |
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 |
46800eu1 1300e1 11700q1 |
Quadratic twists by: -4 -3 5 |