Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34272be |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-144579127766976 = -1 · 26 · 318 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13119,13120] |
[a1,a2,a3,a4,a6] |
Generators |
[48:868:1] |
Generators of the group modulo torsion |
j |
5352028359488/3098832471 |
j-invariant |
L |
3.4445464593342 |
L(r)(E,1)/r! |
Ω |
0.34750730575658 |
Real period |
R |
4.9560777604873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34272bj1 68544dm1 11424g1 |
Quadratic twists by: -4 8 -3 |