Atkin-Lehner |
3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
36603b |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15952755804363 = 39 · 76 · 832 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9344,-287360] |
[a1,a2,a3,a4,a6] |
Generators |
[233:3068:1] |
Generators of the group modulo torsion |
j |
38958219/6889 |
j-invariant |
L |
3.6490828956387 |
L(r)(E,1)/r! |
Ω |
0.49147633686834 |
Real period |
R |
3.7123688587845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36603a2 747a2 |
Quadratic twists by: -3 -7 |