Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23940g |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-271479600 = -1 · 24 · 36 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-803] |
[a1,a2,a3,a4,a6] |
Generators |
[39:238:1] |
Generators of the group modulo torsion |
j |
-1048576/23275 |
j-invariant |
L |
4.276210786251 |
L(r)(E,1)/r! |
Ω |
0.75240261061139 |
Real period |
R |
2.8417038470774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760dq1 2660f1 119700y1 |
Quadratic twists by: -4 -3 5 |