Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400br |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
2284800 = 28 · 3 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,3] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
640000/357 |
j-invariant |
L |
8.6848802692832 |
L(r)(E,1)/r! |
Ω |
2.2434852417457 |
Real period |
R |
0.96778887913162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400dc1 |
Quadratic twists by: 5 |