Atkin-Lehner |
3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34983n |
Isogeny class |
Conductor |
34983 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-314579210977161 = -1 · 36 · 138 · 232 |
Discriminant |
Eigenvalues |
-1 3- -3 -2 0 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4531,844094] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:781:1] |
Generators of the group modulo torsion |
j |
17303/529 |
j-invariant |
L |
2.3872907678551 |
L(r)(E,1)/r! |
Ω |
0.40965317442743 |
Real period |
R |
0.48563250510447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3887a1 34983j1 |
Quadratic twists by: -3 13 |