Atkin-Lehner |
2- 7- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
129584o |
Isogeny class |
Conductor |
129584 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8087040 |
Modular degree for the optimal curve |
Δ |
-2.4889091476329E+23 |
Discriminant |
Eigenvalues |
2- -1 0 7- 1 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15807288,34082943856] |
[a1,a2,a3,a4,a6] |
Generators |
[6282:427378:1] |
Generators of the group modulo torsion |
j |
-106643868215376775389625/60764383487131530752 |
j-invariant |
L |
5.4284554172625 |
L(r)(E,1)/r! |
Ω |
0.091489145312555 |
Real period |
R |
1.648178357114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999364865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16198a1 |
Quadratic twists by: -4 |