Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070a |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1204771526400 = -1 · 28 · 3 · 52 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2532,20688] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1213:1] |
Generators of the group modulo torsion |
j |
371694959/249600 |
j-invariant |
L |
2.0246361312266 |
L(r)(E,1)/r! |
Ω |
0.54355837265042 |
Real period |
R |
0.93119535688244 |
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 |
40560bz1 15210bn1 25350cs1 390b1 |
Quadratic twists by: -4 -3 5 13 |