Atkin-Lehner |
2- 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834n |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
354685923854843904 = 216 · 315 · 233 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -3 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48422219,-129680474533] |
[a1,a2,a3,a4,a6] |
j |
17223850138378767661426537/486537618456576 |
j-invariant |
L |
1.831421728793 |
L(r)(E,1)/r! |
Ω |
0.057231929024781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102672bz1 4278j1 |
Quadratic twists by: -4 -3 |