Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23064g |
Isogeny class |
Conductor |
23064 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-5904384 = -1 · 211 · 3 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 -5 -3 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72,240] |
[a1,a2,a3,a4,a6] |
Generators |
[11:30:1] |
Generators of the group modulo torsion |
j |
-21266/3 |
j-invariant |
L |
5.8149962283431 |
L(r)(E,1)/r! |
Ω |
2.3171107527969 |
Real period |
R |
2.5095892465753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46128e1 69192bk1 23064a1 |
Quadratic twists by: -4 -3 -31 |