Atkin-Lehner |
3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673l |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
13547520 |
Modular degree for the optimal curve |
Δ |
-4.0403382529308E+24 |
Discriminant |
Eigenvalues |
0 3- -1 -2 1 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-46741098,-156464160165] |
[a1,a2,a3,a4,a6] |
Generators |
[23925:3524210:1] |
Generators of the group modulo torsion |
j |
-26043834513719296/9317560247811 |
j-invariant |
L |
3.6337807246266 |
L(r)(E,1)/r! |
Ω |
0.028360710507526 |
Real period |
R |
1.1439935353989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000393184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42891j1 4437c1 |
Quadratic twists by: -3 29 |