Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446bs |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-50603423178 = -1 · 2 · 3 · 79 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,636,-8625] |
[a1,a2,a3,a4,a6] |
Generators |
[17940:293181:64] |
Generators of the group modulo torsion |
j |
704969/1254 |
j-invariant |
L |
6.5421229989354 |
L(r)(E,1)/r! |
Ω |
0.59060287280192 |
Real period |
R |
5.5385126793543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446db1 |
Quadratic twists by: -7 |