Atkin-Lehner |
3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
36603o |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-21355764129 = -1 · 37 · 76 · 83 |
Discriminant |
Eigenvalues |
-1 3- -1 7- 3 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,652,2720] |
[a1,a2,a3,a4,a6] |
Generators |
[30:205:1] |
Generators of the group modulo torsion |
j |
357911/249 |
j-invariant |
L |
3.3584143943875 |
L(r)(E,1)/r! |
Ω |
0.76509941425731 |
Real period |
R |
0.54868921799655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12201k1 747e1 |
Quadratic twists by: -3 -7 |