Atkin-Lehner |
11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30899d |
Isogeny class |
Conductor |
30899 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3504384 |
Modular degree for the optimal curve |
Δ |
-2.327752230565E+20 |
Discriminant |
Eigenvalues |
-2 -3 3 2 11- 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1379219,-387489612] |
[a1,a2,a3,a4,a6] |
j |
13090860306432/10502230211 |
j-invariant |
L |
1.1746292250438 |
L(r)(E,1)/r! |
Ω |
0.097885768754028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
583c1 |
Quadratic twists by: 53 |