Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5814d |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
182400 |
Modular degree for the optimal curve |
Δ |
-1766603832655832064 = -1 · 210 · 311 · 175 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 -2 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6236550,-5993444556] |
[a1,a2,a3,a4,a6] |
j |
-36798443442923099464801/2423324873327616 |
j-invariant |
L |
1.5285572737132 |
L(r)(E,1)/r! |
Ω |
0.047767414803537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46512x1 1938j1 98838h1 110466bi1 |
Quadratic twists by: -4 -3 17 -19 |