Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10920a |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-35098574434560000 = -1 · 211 · 316 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27496,-9173780] |
[a1,a2,a3,a4,a6] |
Generators |
[2707694:4915125:10648] |
Generators of the group modulo torsion |
j |
-1122582097392338/17137975798125 |
j-invariant |
L |
3.3300998030042 |
L(r)(E,1)/r! |
Ω |
0.15738283975578 |
Real period |
R |
10.579615313117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840o3 87360cy3 32760bj3 54600ck3 |
Quadratic twists by: -4 8 -3 5 |