Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6496f |
Isogeny class |
Conductor |
6496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-684766121984 = -1 · 212 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- -1 -7 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2132,-12224] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-1372:1] [13:133:1] |
Generators of the group modulo torsion |
j |
261652787136/167179229 |
j-invariant |
L |
3.4049138629475 |
L(r)(E,1)/r! |
Ω |
0.51954814951238 |
Real period |
R |
0.20480018707983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6496b1 12992bn1 58464be1 45472n1 |
Quadratic twists by: -4 8 -3 -7 |