Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070q |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
45178932240 = 24 · 32 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2285,39827] |
[a1,a2,a3,a4,a6] |
Generators |
[15:88:1] |
Generators of the group modulo torsion |
j |
273359449/9360 |
j-invariant |
L |
5.093890722213 |
L(r)(E,1)/r! |
Ω |
1.1295083101471 |
Real period |
R |
2.2549151150335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40560cq1 15210h1 25350x1 390a1 |
Quadratic twists by: -4 -3 5 13 |