Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880cg |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
4.30580934E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15558376,-23604874060] |
[a1,a2,a3,a4,a6] |
j |
101684926900232033171689/105122298339843750 |
j-invariant |
L |
4.2571942729532 |
L(r)(E,1)/r! |
Ω |
0.076021326402053 |
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 |
8610a3 |
Quadratic twists by: -4 |