Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
5340a |
Isogeny class |
Conductor |
5340 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
-15379200 = -1 · 28 · 33 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,59,-95] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
87228416/60075 |
j-invariant |
L |
3.400237570651 |
L(r)(E,1)/r! |
Ω |
1.2513342535004 |
Real period |
R |
0.4528816023296 |
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 |
21360m1 85440v1 16020e1 26700j1 |
Quadratic twists by: -4 8 -3 5 |