Atkin-Lehner |
3+ 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
66297b |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16299360 |
Modular degree for the optimal curve |
Δ |
-1.4173603505478E+25 |
Discriminant |
Eigenvalues |
-1 3+ -1 7+ 11+ 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-120026726,537518916542] |
[a1,a2,a3,a4,a6] |
Generators |
[3156:434497:1] |
Generators of the group modulo torsion |
j |
-33172123372997834290849/2458645754723837019 |
j-invariant |
L |
2.463190024671 |
L(r)(E,1)/r! |
Ω |
0.069123864925348 |
Real period |
R |
5.9390728687328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66297o1 |
Quadratic twists by: -7 |