Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350t |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-22569840000000 = -1 · 210 · 38 · 57 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6192,297216] |
[a1,a2,a3,a4,a6] |
Generators |
[39:318:1] |
Generators of the group modulo torsion |
j |
-2305199161/1981440 |
j-invariant |
L |
4.0891720330928 |
L(r)(E,1)/r! |
Ω |
0.61987561386269 |
Real period |
R |
0.82459527799689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450bg1 3870p1 |
Quadratic twists by: -3 5 |