Atkin-Lehner |
2- 3+ 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110bd |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-2.9660917152583E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-536015,2624422997] |
[a1,a2,a3,a4,a6] |
Generators |
[-1253:37106:1] |
Generators of the group modulo torsion |
j |
-17031566423031174549361/2966091715258299187200 |
j-invariant |
L |
5.8250430303589 |
L(r)(E,1)/r! |
Ω |
0.11656205267436 |
Real period |
R |
0.29746280530571 |
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 |
104880cy1 39330n1 65550bd1 |
Quadratic twists by: -4 -3 5 |