Atkin-Lehner |
2- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31280be |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-5004800000 = -1 · 212 · 55 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -3 5- -4 -1 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-547,5986] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:80:1] [17:40:1] |
Generators of the group modulo torsion |
j |
-4419017721/1221875 |
j-invariant |
L |
5.1982828527505 |
L(r)(E,1)/r! |
Ω |
1.2964498995503 |
Real period |
R |
0.20048143991343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1955b1 125120bw1 |
Quadratic twists by: -4 8 |