Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605q |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
144967680 |
Modular degree for the optimal curve |
Δ |
-5.6929764864886E+28 |
Discriminant |
Eigenvalues |
2 1 5+ 7- 5 -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,596278044,10018865818525] |
[a1,a2,a3,a4,a6] |
Generators |
[115723498432254525551808153074021409995268190579347844:29577839313648035671958853606337310847796544837191352613:4694254490474554925561946215121203407294344721984] |
Generators of the group modulo torsion |
j |
1346216501445963776/3268768272021875 |
j-invariant |
L |
14.773327355899 |
L(r)(E,1)/r! |
Ω |
0.024602808120419 |
Real period |
R |
75.059152209324 |
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 |
18515t1 5635g1 |
Quadratic twists by: -7 -23 |