Atkin-Lehner |
3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35739q |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
10186044832953 = 39 · 11 · 196 |
Discriminant |
Eigenvalues |
1 3- 2 4 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21186,-1171665] |
[a1,a2,a3,a4,a6] |
Generators |
[-236375537509930:397740621202917:2806204207625] |
Generators of the group modulo torsion |
j |
30664297/297 |
j-invariant |
L |
9.1623953068549 |
L(r)(E,1)/r! |
Ω |
0.39594995315467 |
Real period |
R |
23.140286376735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11913i1 99b1 |
Quadratic twists by: -3 -19 |