Atkin-Lehner |
2- 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370bm |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1099754820 = 22 · 38 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-347,1991] |
[a1,a2,a3,a4,a6] |
Generators |
[222:803:8] |
Generators of the group modulo torsion |
j |
6321363049/1508580 |
j-invariant |
L |
10.25789955352 |
L(r)(E,1)/r! |
Ω |
1.455943579449 |
Real period |
R |
1.7613834248659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790k1 |
Quadratic twists by: -3 |