Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070k |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1988343632437500 = -1 · 22 · 3 · 56 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9122,-2118244] |
[a1,a2,a3,a4,a6] |
Generators |
[222:3184:1] |
Generators of the group modulo torsion |
j |
17394111071/411937500 |
j-invariant |
L |
3.4140355069207 |
L(r)(E,1)/r! |
Ω |
0.22596771246534 |
Real period |
R |
1.2590425234034 |
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 |
40560br3 15210bf3 25350bx3 390c3 |
Quadratic twists by: -4 -3 5 13 |