Atkin-Lehner |
7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
40733h |
Isogeny class |
Conductor |
40733 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
73366351359372379 = 7 · 11 · 2311 |
Discriminant |
Eigenvalues |
1 -3 -3 7- 11+ -1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-133936,13676113] |
[a1,a2,a3,a4,a6] |
Generators |
[-408:733:1] |
Generators of the group modulo torsion |
j |
1794942305577/495598411 |
j-invariant |
L |
2.1062619753236 |
L(r)(E,1)/r! |
Ω |
0.321890017951 |
Real period |
R |
3.2717106121058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1771a1 |
Quadratic twists by: -23 |