Atkin-Lehner |
5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40535i |
Isogeny class |
Conductor |
40535 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3552 |
Modular degree for the optimal curve |
Δ |
-202675 = -1 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
0 -2 5- -4 11- 4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,15,6] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
2883584/1675 |
j-invariant |
L |
2.2498221596643 |
L(r)(E,1)/r! |
Ω |
1.9096428110202 |
Real period |
R |
0.5890688422674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40535h1 |
Quadratic twists by: -11 |