Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10780f |
Isogeny class |
Conductor |
10780 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1002181241600 = 28 · 52 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-347916,79103816] |
[a1,a2,a3,a4,a6] |
Generators |
[7527:51940:27] |
Generators of the group modulo torsion |
j |
154639330142416/33275 |
j-invariant |
L |
6.0604274760814 |
L(r)(E,1)/r! |
Ω |
0.69641394978912 |
Real period |
R |
4.351167490195 |
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 |
43120bw4 97020cv4 53900o4 220a4 |
Quadratic twists by: -4 -3 5 -7 |