Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960cc |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4902912 |
Modular degree for the optimal curve |
Δ |
-8.318142006748E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2860203,-2322059578] |
[a1,a2,a3,a4,a6] |
Generators |
[66321277641144446:6570732303814864950:6552850393097] |
Generators of the group modulo torsion |
j |
-102053522/32805 |
j-invariant |
L |
8.2127790511562 |
L(r)(E,1)/r! |
Ω |
0.057110128483051 |
Real period |
R |
23.967666417215 |
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 |
43320f1 129960z1 |
Quadratic twists by: -3 -19 |