Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bb |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-214732954800 = -1 · 24 · 33 · 52 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1261,-27764] |
[a1,a2,a3,a4,a6] |
Generators |
[2458:42705:8] |
Generators of the group modulo torsion |
j |
-13870539341824/13420809675 |
j-invariant |
L |
3.928286376318 |
L(r)(E,1)/r! |
Ω |
0.38537364353423 |
Real period |
R |
5.0967242340343 |
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 |
5460e1 87360go1 65520ds1 109200fv1 |
Quadratic twists by: -4 8 -3 5 |