Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712x |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-67289088 = -1 · 214 · 3 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 3 2 5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1048,-13420] |
[a1,a2,a3,a4,a6] |
Generators |
[5682:81584:27] |
Generators of the group modulo torsion |
j |
-22722625/12 |
j-invariant |
L |
9.9004133745834 |
L(r)(E,1)/r! |
Ω |
0.41949902287992 |
Real period |
R |
5.9001409028379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8214b1 65712y1 |
Quadratic twists by: -4 37 |