Atkin-Lehner |
2- 3- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650cv |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40704 |
Modular degree for the optimal curve |
Δ |
-327426000 = -1 · 24 · 3 · 53 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ -6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-298,-2188] |
[a1,a2,a3,a4,a6] |
Generators |
[22:34:1] |
Generators of the group modulo torsion |
j |
-23418203381/2619408 |
j-invariant |
L |
9.8148675540009 |
L(r)(E,1)/r! |
Ω |
0.57092636768597 |
Real period |
R |
2.1488908441259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650q1 |
Quadratic twists by: 5 |