Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36064b |
Isogeny class |
Conductor |
36064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-14749510186432 = -1 · 26 · 77 · 234 |
Discriminant |
Eigenvalues |
2+ 2 4 7- -4 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17166,-879472] |
[a1,a2,a3,a4,a6] |
Generators |
[231058261:1958938290:1225043] |
Generators of the group modulo torsion |
j |
-74299881664/1958887 |
j-invariant |
L |
10.470243416557 |
L(r)(E,1)/r! |
Ω |
0.20822091922606 |
Real period |
R |
12.571075297661 |
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 |
36064a1 72128cg1 5152b1 |
Quadratic twists by: -4 8 -7 |