Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680bg |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-3396338391600 = -1 · 24 · 38 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3169,55056] |
[a1,a2,a3,a4,a6] |
Generators |
[33:441:1] |
Generators of the group modulo torsion |
j |
1869154304/1804275 |
j-invariant |
L |
4.4528554554156 |
L(r)(E,1)/r! |
Ω |
0.52089928049382 |
Real period |
R |
2.1371000219779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360ca1 1320m1 |
Quadratic twists by: -4 -7 |