Atkin-Lehner |
2+ 3- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61752h |
Isogeny class |
Conductor |
61752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-11485872 = -1 · 24 · 32 · 312 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3,162] |
[a1,a2,a3,a4,a6] |
Generators |
[21:99:1] |
Generators of the group modulo torsion |
j |
-256000/717867 |
j-invariant |
L |
8.4494648574354 |
L(r)(E,1)/r! |
Ω |
1.8203074878305 |
Real period |
R |
2.3208894413437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123504b1 |
Quadratic twists by: -4 |