Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34272q |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
212406372892224 = 26 · 314 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24681,1317440] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:1260:1] |
Generators of the group modulo torsion |
j |
35637273157312/4552605729 |
j-invariant |
L |
4.7966483377499 |
L(r)(E,1)/r! |
Ω |
0.54172138894536 |
Real period |
R |
2.2136140623359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34272j1 68544el2 11424q1 |
Quadratic twists by: -4 8 -3 |