Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
34104y |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-100403996403312 = -1 · 24 · 37 · 76 · 293 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -5 -1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2728,479877] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-783:1] |
Generators of the group modulo torsion |
j |
1192310528/53338743 |
j-invariant |
L |
7.8231030108045 |
L(r)(E,1)/r! |
Ω |
0.4534720808974 |
Real period |
R |
0.41075154402337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208m1 102312l1 696f1 |
Quadratic twists by: -4 -3 -7 |