Atkin-Lehner |
2- 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666bk |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.6678588070015E+26 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295195599,-2104510100529] |
[a1,a2,a3,a4,a6] |
Generators |
[2984796174384288195626428982687356218496120288:6183046755194981315276512549075654644136137938045:695220406301206226160897762166627336192] |
Generators of the group modulo torsion |
j |
-589377067550053459948153/55271687920559220474 |
j-invariant |
L |
8.953694815998 |
L(r)(E,1)/r! |
Ω |
0.018114725296461 |
Real period |
R |
61.78464408911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999712825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282c4 |
Quadratic twists by: 13 |