Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
23364b |
Isogeny class |
Conductor |
23364 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
-446626224 = -1 · 24 · 36 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,-1215] |
[a1,a2,a3,a4,a6] |
Generators |
[18:45:1] |
Generators of the group modulo torsion |
j |
-28311552/38291 |
j-invariant |
L |
6.6867274126092 |
L(r)(E,1)/r! |
Ω |
0.65639180546827 |
Real period |
R |
1.6978496067195 |
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 |
93456bb1 2596a1 |
Quadratic twists by: -4 -3 |