Atkin-Lehner |
3- 7+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
23919c |
Isogeny class |
Conductor |
23919 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
-1098527913 = -1 · 39 · 72 · 17 · 67 |
Discriminant |
Eigenvalues |
-1 3- -4 7+ -5 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1040,12921] |
[a1,a2,a3,a4,a6] |
Generators |
[13:34:1] [-23:169:1] |
Generators of the group modulo torsion |
j |
-124408435656961/1098527913 |
j-invariant |
L |
4.5389818945277 |
L(r)(E,1)/r! |
Ω |
1.5571424707627 |
Real period |
R |
0.16194129024283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71757h1 |
Quadratic twists by: -3 |