Atkin-Lehner |
2- 3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
99180d |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-60806167020000000 = -1 · 28 · 38 · 57 · 19 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40008,12257332] |
[a1,a2,a3,a4,a6] |
Generators |
[39311:23788197:6859] |
Generators of the group modulo torsion |
j |
-37948686032896/325821796875 |
j-invariant |
L |
6.412809446439 |
L(r)(E,1)/r! |
Ω |
0.30012044591107 |
Real period |
R |
10.683726361657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33060o1 |
Quadratic twists by: -3 |