Atkin-Lehner |
5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1955b |
Isogeny class |
Conductor |
1955 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
520 |
Modular degree for the optimal curve |
Δ |
-1221875 = -1 · 55 · 17 · 23 |
Discriminant |
Eigenvalues |
1 3 5- 4 1 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34,-85] |
[a1,a2,a3,a4,a6] |
j |
-4419017721/1221875 |
j-invariant |
L |
4.8660257370961 |
L(r)(E,1)/r! |
Ω |
0.97320514741922 |
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 |
31280be1 125120k1 17595p1 9775d1 |
Quadratic twists by: -4 8 -3 5 |