Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720z |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-561600 = -1 · 26 · 33 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
1728/325 |
j-invariant |
L |
4.9823903111246 |
L(r)(E,1)/r! |
Ω |
2.2491961998447 |
Real period |
R |
1.1075935286278 |
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 |
18720d1 37440n1 18720b1 93600g1 |
Quadratic twists by: -4 8 -3 5 |