Atkin-Lehner |
2- 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456be |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
332893727842369536 = 226 · 38 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -6 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-214563,26321186] |
[a1,a2,a3,a4,a6] |
Generators |
[46:4068:1] |
Generators of the group modulo torsion |
j |
365848041353761/111485435904 |
j-invariant |
L |
5.6744014609372 |
L(r)(E,1)/r! |
Ω |
0.28209222379087 |
Real period |
R |
5.0288530127205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000252069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16182d1 43152w1 |
Quadratic twists by: -4 -3 |