Atkin-Lehner |
2- 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
23904p |
Isogeny class |
Conductor |
23904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-69425247744 = -1 · 29 · 39 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,-13230] |
[a1,a2,a3,a4,a6] |
Generators |
[323837930:-23121890:10793861] |
Generators of the group modulo torsion |
j |
-1061208/6889 |
j-invariant |
L |
6.7328485780099 |
L(r)(E,1)/r! |
Ω |
0.45946386749546 |
Real period |
R |
14.653706317998 |
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 |
23904o2 47808be2 23904a2 |
Quadratic twists by: -4 8 -3 |