Atkin-Lehner |
3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
36603p |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1823931746965503 = 38 · 79 · 832 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -6 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-809024,-279875284] |
[a1,a2,a3,a4,a6] |
Generators |
[32160:5748892:1] |
Generators of the group modulo torsion |
j |
682797081921193/21266343 |
j-invariant |
L |
3.9883675015953 |
L(r)(E,1)/r! |
Ω |
0.15918790121349 |
Real period |
R |
3.1318079696943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12201l2 5229c2 |
Quadratic twists by: -3 -7 |