Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5586t |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-1770283982831616 = -1 · 214 · 38 · 74 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -1 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-437865,111357399] |
[a1,a2,a3,a4,a6] |
Generators |
[703:11960:1] |
Generators of the group modulo torsion |
j |
-3866805342966045361/737311113216 |
j-invariant |
L |
5.1205351877183 |
L(r)(E,1)/r! |
Ω |
0.45703484083707 |
Real period |
R |
0.13337878600917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44688co1 16758e1 5586y1 106134t1 |
Quadratic twists by: -4 -3 -7 -19 |