Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10780g |
Isogeny class |
Conductor |
10780 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
55803273680 = 24 · 5 · 78 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4181,-104840] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1364:1] |
Generators of the group modulo torsion |
j |
4294967296/29645 |
j-invariant |
L |
2.3508209566105 |
L(r)(E,1)/r! |
Ω |
0.59395221321995 |
Real period |
R |
3.9579294500245 |
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 |
43120bu1 97020da1 53900n1 1540b1 |
Quadratic twists by: -4 -3 5 -7 |