Atkin-Lehner |
3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59565u |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2116303604718480045 = 316 · 5 · 11 · 197 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2061318,-1137128897] |
[a1,a2,a3,a4,a6] |
Generators |
[-5211963208:11426192397:6229504] |
Generators of the group modulo torsion |
j |
20589072861673441/44983823445 |
j-invariant |
L |
10.220146003463 |
L(r)(E,1)/r! |
Ω |
0.12601444810722 |
Real period |
R |
10.137871249046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3135b4 |
Quadratic twists by: -19 |