Atkin-Lehner |
2+ 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34768a |
Isogeny class |
Conductor |
34768 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
1562612992 = 28 · 41 · 533 |
Discriminant |
Eigenvalues |
2+ -1 0 -4 6 6 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8033,-274451] |
[a1,a2,a3,a4,a6] |
Generators |
[-1008180:17009:19683] |
Generators of the group modulo torsion |
j |
223960336000000/6103957 |
j-invariant |
L |
4.3710550490029 |
L(r)(E,1)/r! |
Ω |
0.50428531083513 |
Real period |
R |
8.6678214794005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17384a1 |
Quadratic twists by: -4 |