Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ct |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
10838016 |
Modular degree for the optimal curve |
Δ |
8.2206841057866E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18022020,-29128944132] |
[a1,a2,a3,a4,a6] |
j |
62663090868014128/795766467375 |
j-invariant |
L |
3.0798628743548 |
L(r)(E,1)/r! |
Ω |
0.073330101833002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680cf1 129360n1 |
Quadratic twists by: -4 -7 |