Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bj |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
14245969920 = 214 · 3 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1576,23920] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:182:1] |
Generators of the group modulo torsion |
j |
105756712489/3478020 |
j-invariant |
L |
3.5786605773406 |
L(r)(E,1)/r! |
Ω |
1.2442629583762 |
Real period |
R |
0.47935480642705 |
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 |
2730l1 87360hl1 65520ej1 109200fu1 |
Quadratic twists by: -4 8 -3 5 |