Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5310p |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-135089807781283200 = -1 · 27 · 310 · 52 · 595 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 -3 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9932,-17685169] |
[a1,a2,a3,a4,a6] |
j |
-148615915769209/185308378300800 |
j-invariant |
L |
4.1498270786342 |
L(r)(E,1)/r! |
Ω |
0.14820810995122 |
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 |
42480bz1 1770c1 26550j1 |
Quadratic twists by: -4 -3 5 |