Atkin-Lehner |
2+ 3+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40920j |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
14403840 = 28 · 3 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-140,660] |
[a1,a2,a3,a4,a6] |
Generators |
[22:88:1] |
Generators of the group modulo torsion |
j |
1193895376/56265 |
j-invariant |
L |
5.2889813936511 |
L(r)(E,1)/r! |
Ω |
2.1978183021388 |
Real period |
R |
2.4064689007723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840be1 122760bq1 |
Quadratic twists by: -4 -3 |