Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680b |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-3407040 = -1 · 26 · 32 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
65939264/53235 |
j-invariant |
L |
4.9521964826082 |
L(r)(E,1)/r! |
Ω |
1.6170028234269 |
Real period |
R |
1.5312887556105 |
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 |
43680bx1 87360di2 |
Quadratic twists by: -4 8 |