Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840ca |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-20038287360000 = -1 · 224 · 3 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7896,342804] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1050:1] |
Generators of the group modulo torsion |
j |
-13293525831769/4892160000 |
j-invariant |
L |
6.0605498544645 |
L(r)(E,1)/r! |
Ω |
0.64373320785788 |
Real period |
R |
2.3536729892466 |
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 |
2730b1 87360fk1 65520eo1 109200db1 |
Quadratic twists by: -4 8 -3 5 |