Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770p |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-24636372943353600 = -1 · 28 · 3 · 52 · 112 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26367,7718469] |
[a1,a2,a3,a4,a6] |
Generators |
[395:7492:1] |
Generators of the group modulo torsion |
j |
-420021471169/5104070400 |
j-invariant |
L |
4.5300361255518 |
L(r)(E,1)/r! |
Ω |
0.3211331469263 |
Real period |
R |
1.7633013630134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290q1 |
Quadratic twists by: 13 |