Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440br |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2020207638758400 = 210 · 34 · 52 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60776,5366460] |
[a1,a2,a3,a4,a6] |
Generators |
[61:1372:1] |
Generators of the group modulo torsion |
j |
206081497444/16769025 |
j-invariant |
L |
4.3266920255888 |
L(r)(E,1)/r! |
Ω |
0.45494084780997 |
Real period |
R |
2.3776124120431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990645 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920u2 |
Quadratic twists by: -7 |