Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070d |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-186900480 = -1 · 213 · 33 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -1 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42,-684] |
[a1,a2,a3,a4,a6] |
j |
-50308609/1105920 |
j-invariant |
L |
0.77602402237417 |
L(r)(E,1)/r! |
Ω |
0.77602402237417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40560cs1 15210bg1 25350cu1 5070l1 |
Quadratic twists by: -4 -3 5 13 |