Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cf |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
5419008 |
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] |
Generators |
[-2136:240570:1] |
Generators of the group modulo torsion |
j |
62663090868014128/795766467375 |
j-invariant |
L |
5.8092270803284 |
L(r)(E,1)/r! |
Ω |
0.13146570843236 |
Real period |
R |
1.2274487455356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360ct1 64680cx1 |
Quadratic twists by: -4 -7 |