Atkin-Lehner |
3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
36603g |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-9007338311307 = -1 · 38 · 74 · 833 |
Discriminant |
Eigenvalues |
-2 3- 2 7+ -1 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1029,144954] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-374:1] |
Generators of the group modulo torsion |
j |
-68841472/5146083 |
j-invariant |
L |
2.9205898817518 |
L(r)(E,1)/r! |
Ω |
0.60295091349548 |
Real period |
R |
0.4036522454788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12201g1 36603q1 |
Quadratic twists by: -3 -7 |