Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48165t |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
395136 |
Modular degree for the optimal curve |
Δ |
-6192549176389875 = -1 · 37 · 53 · 137 · 192 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,37124,2611405] |
[a1,a2,a3,a4,a6] |
Generators |
[1306:28895:8] |
Generators of the group modulo torsion |
j |
1172239069184/1282948875 |
j-invariant |
L |
14.689351763374 |
L(r)(E,1)/r! |
Ω |
0.2816531908027 |
Real period |
R |
0.93132214185143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3705h1 |
Quadratic twists by: 13 |