Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840w |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
9192960 = 29 · 33 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-191520,-32324292] |
[a1,a2,a3,a4,a6] |
j |
1517394193872963848/17955 |
j-invariant |
L |
2.7385903838736 |
L(r)(E,1)/r! |
Ω |
0.22821586512593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840bm4 127680r4 |
Quadratic twists by: -4 8 |