Atkin-Lehner |
2+ 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
41334c |
Isogeny class |
Conductor |
41334 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-27992056725504 = -1 · 216 · 32 · 834 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 -3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6745,-138454] |
[a1,a2,a3,a4,a6] |
Generators |
[20:57:1] |
Generators of the group modulo torsion |
j |
715236647/589824 |
j-invariant |
L |
6.6145216178005 |
L(r)(E,1)/r! |
Ω |
0.36823502934078 |
Real period |
R |
4.4906928257466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124002s1 41334i1 |
Quadratic twists by: -3 -83 |