Atkin-Lehner |
2+ 3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590f |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
5786510400 = 26 · 36 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-810,-7884] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:14:1] [-17:36:1] |
Generators of the group modulo torsion |
j |
80677568161/7937600 |
j-invariant |
L |
6.329428038416 |
L(r)(E,1)/r! |
Ω |
0.90052008724185 |
Real period |
R |
1.7571590373411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4510k1 |
Quadratic twists by: -3 |