Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680bk |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-109729687500000000 = -1 · 28 · 35 · 514 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 4 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10742940,-13549347900] |
[a1,a2,a3,a4,a6] |
Generators |
[3880:56250:1] |
Generators of the group modulo torsion |
j |
-1853341262928948120784/1483154296875 |
j-invariant |
L |
6.1202409132941 |
L(r)(E,1)/r! |
Ω |
0.041695457863762 |
Real period |
R |
2.6211492068497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360bq1 104040p1 34680bv1 |
Quadratic twists by: -4 -3 17 |