Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350bp |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
2534186250000 = 24 · 39 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65480,6465147] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:3663:1] |
Generators of the group modulo torsion |
j |
2725812332209/222480 |
j-invariant |
L |
10.377038406512 |
L(r)(E,1)/r! |
Ω |
0.77525665755298 |
Real period |
R |
3.3463235386011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15450a1 9270k1 |
Quadratic twists by: -3 5 |