Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
67680i |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-2105118720 = -1 · 212 · 37 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -6 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,7936] |
[a1,a2,a3,a4,a6] |
Generators |
[20:36:1] |
Generators of the group modulo torsion |
j |
-14526784/705 |
j-invariant |
L |
6.6899615870399 |
L(r)(E,1)/r! |
Ω |
1.4520702270747 |
Real period |
R |
1.1517971827131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67680o1 22560t1 |
Quadratic twists by: -4 -3 |