Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34476i |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-337588992 = -1 · 28 · 33 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1213,15887] |
[a1,a2,a3,a4,a6] |
Generators |
[26:51:1] |
Generators of the group modulo torsion |
j |
-4566016000/7803 |
j-invariant |
L |
7.3355217631687 |
L(r)(E,1)/r! |
Ω |
1.7096535650202 |
Real period |
R |
0.71510801108625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103428p1 34476j1 |
Quadratic twists by: -3 13 |