Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840p |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1826668800 = 28 · 33 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2516,-49380] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:6:1] |
Generators of the group modulo torsion |
j |
6883166242384/7135425 |
j-invariant |
L |
6.7626797258827 |
L(r)(E,1)/r! |
Ω |
0.67411585604405 |
Real period |
R |
1.6719875041914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920v1 |
Quadratic twists by: -4 |