Atkin-Lehner |
2+ 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446m |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
-3569724092841984 = -1 · 223 · 37 · 72 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11- -6 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16811,2987517] |
[a1,a2,a3,a4,a6] |
Generators |
[1974:28881:8] |
Generators of the group modulo torsion |
j |
-10723798413038473/72851512098816 |
j-invariant |
L |
4.3793907002601 |
L(r)(E,1)/r! |
Ω |
0.38221732274262 |
Real period |
R |
5.7289275489517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446u1 |
Quadratic twists by: -7 |