Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446bw |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-32780705614272 = -1 · 26 · 310 · 73 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-848,-275983] |
[a1,a2,a3,a4,a6] |
j |
-196629718375/95570570304 |
j-invariant |
L |
1.7693939962827 |
L(r)(E,1)/r! |
Ω |
0.29489899975183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61446cs1 |
Quadratic twists by: -7 |