Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446bo |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
86112 |
Modular degree for the optimal curve |
Δ |
251682816 = 213 · 3 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8296,-294295] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:27:1] |
Generators of the group modulo torsion |
j |
1288656397392721/5136384 |
j-invariant |
L |
6.3236833543655 |
L(r)(E,1)/r! |
Ω |
0.50024435902408 |
Real period |
R |
0.97239913315953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446cm1 |
Quadratic twists by: -7 |