Atkin-Lehner |
2- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109820n |
Isogeny class |
Conductor |
109820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-14420285782035200 = -1 · 28 · 52 · 179 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -6 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40845,6607225] |
[a1,a2,a3,a4,a6] |
Generators |
[312:-4913:1] [75:1990:1] |
Generators of the group modulo torsion |
j |
-1219600384/2333675 |
j-invariant |
L |
9.2007824326861 |
L(r)(E,1)/r! |
Ω |
0.35253343112862 |
Real period |
R |
1.0874598004222 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6460d1 |
Quadratic twists by: 17 |