Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400et |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3840162048000000 = 214 · 37 · 56 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1540875,-736199750] |
[a1,a2,a3,a4,a6] |
Generators |
[3989:237888:1] |
Generators of the group modulo torsion |
j |
8671983378625/82308 |
j-invariant |
L |
5.8000732351966 |
L(r)(E,1)/r! |
Ω |
0.13550582034728 |
Real period |
R |
5.3503912423094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550bf3 22800db3 2736n3 |
Quadratic twists by: -4 -3 5 |