Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10830p |
Isogeny class |
Conductor |
10830 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1907006848826423040 = -1 · 28 · 35 · 5 · 1910 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-685908,-228577454] |
[a1,a2,a3,a4,a6] |
j |
-758575480593601/40535043840 |
j-invariant |
L |
3.3076198307197 |
L(r)(E,1)/r! |
Ω |
0.082690495767993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640cs1 32490bo1 54150ca1 570i1 |
Quadratic twists by: -4 -3 5 -19 |