Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18960z |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-3.8762048704971E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -1 3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2072320,-2765938572] |
[a1,a2,a3,a4,a6] |
Generators |
[14116:1685070:1] |
Generators of the group modulo torsion |
j |
240289066260405262079/946339079711203125 |
j-invariant |
L |
5.3965399673074 |
L(r)(E,1)/r! |
Ω |
0.070742974008759 |
Real period |
R |
0.14126622003216 |
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 |
1185c1 75840bs1 56880bm1 94800bu1 |
Quadratic twists by: -4 8 -3 5 |