Atkin-Lehner |
2- 3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110bo |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-305830080000 = -1 · 29 · 37 · 54 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6015,181017] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-147:1] |
Generators of the group modulo torsion |
j |
-24067729389429361/305830080000 |
j-invariant |
L |
8.2303432475246 |
L(r)(E,1)/r! |
Ω |
0.97273863009505 |
Real period |
R |
0.033575403753514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104880cd1 39330g1 65550c1 |
Quadratic twists by: -4 -3 5 |