Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
29200g |
Isogeny class |
Conductor |
29200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
456250000 = 24 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 2 -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,463] |
[a1,a2,a3,a4,a6] |
Generators |
[33:175:1] |
Generators of the group modulo torsion |
j |
160000/73 |
j-invariant |
L |
6.7017460209983 |
L(r)(E,1)/r! |
Ω |
1.4942122091769 |
Real period |
R |
1.4950455675659 |
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 |
14600g1 116800cy1 29200a1 |
Quadratic twists by: -4 8 5 |