Atkin-Lehner |
3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
36603p |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
2512484294012721 = 37 · 712 · 83 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -6 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52709,-3971572] |
[a1,a2,a3,a4,a6] |
Generators |
[7572:44833:27] |
Generators of the group modulo torsion |
j |
188822850553/29294601 |
j-invariant |
L |
3.9883675015953 |
L(r)(E,1)/r! |
Ω |
0.31837580242699 |
Real period |
R |
6.2636159393886 |
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 |
12201l1 5229c1 |
Quadratic twists by: -3 -7 |