Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bd |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4.9748908109322E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1100216,-286237584] |
[a1,a2,a3,a4,a6] |
Generators |
[11599798:-2132119550:343] |
Generators of the group modulo torsion |
j |
35958207000163259449/12145729518877500 |
j-invariant |
L |
3.644933026092 |
L(r)(E,1)/r! |
Ω |
0.15143543721342 |
Real period |
R |
12.034610567918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2730n4 87360gr4 65520du4 109200fy4 |
Quadratic twists by: -4 8 -3 5 |