Atkin-Lehner |
2+ 3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110o |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-1.3918666752E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9611,567619712] |
[a1,a2,a3,a4,a6] |
j |
98196136043226551/139186667520000000000 |
j-invariant |
L |
1.4597941132177 |
L(r)(E,1)/r! |
Ω |
0.14597941132177 |
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 |
104880ba1 39330by1 65550bs1 |
Quadratic twists by: -4 -3 5 |