Atkin-Lehner |
2+ 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360a |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
5839290000000000 = 210 · 38 · 510 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-202976,35072976] |
[a1,a2,a3,a4,a6] |
Generators |
[308:1296:1] |
Generators of the group modulo torsion |
j |
903150162226196356/5702431640625 |
j-invariant |
L |
3.6026064524853 |
L(r)(E,1)/r! |
Ω |
0.42859427839424 |
Real period |
R |
2.1014083913945 |
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 |
10680b1 85440bp1 64080l1 106800l1 |
Quadratic twists by: -4 8 -3 5 |