Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600cy |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-267298642657280000 = -1 · 219 · 54 · 138 |
Discriminant |
Eigenvalues |
2- 1 5- -4 1 13+ -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32392,-24762412] |
[a1,a2,a3,a4,a6] |
Generators |
[12614:1416896:1] |
Generators of the group modulo torsion |
j |
304175/21632 |
j-invariant |
L |
5.0717536716469 |
L(r)(E,1)/r! |
Ω |
0.14770406117961 |
Real period |
R |
4.2921582775167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450j1 67600bu1 5200be1 |
Quadratic twists by: -4 5 13 |