Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bn |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
3.2279485638381E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36917440,86344686592] |
[a1,a2,a3,a4,a6] |
j |
1358496453776544375572161/78807337984327680 |
j-invariant |
L |
2.2739660655109 |
L(r)(E,1)/r! |
Ω |
0.1624261475365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2730bc1 87360gi1 65520cx1 109200fm1 |
Quadratic twists by: -4 8 -3 5 |