Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920f |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-1951371233280 = -1 · 211 · 34 · 5 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 -3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1064,-66224] |
[a1,a2,a3,a4,a6] |
Generators |
[178:-2394:1] |
Generators of the group modulo torsion |
j |
64984593742/952817985 |
j-invariant |
L |
3.8877596874366 |
L(r)(E,1)/r! |
Ω |
0.4062968801129 |
Real period |
R |
0.26579904975151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15960d1 127680gk1 95760bn1 |
Quadratic twists by: -4 8 -3 |