Atkin-Lehner |
2- 3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376o |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-52723656843264 = -1 · 213 · 38 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8168,200560] |
[a1,a2,a3,a4,a6] |
Generators |
[3054:43190:27] |
Generators of the group modulo torsion |
j |
14711527911527/12871986534 |
j-invariant |
L |
5.4955049920643 |
L(r)(E,1)/r! |
Ω |
0.41055257084321 |
Real period |
R |
6.6928152231236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422f4 106128ca3 |
Quadratic twists by: -4 -3 |