Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30528bw |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-186687732842496 = -1 · 229 · 38 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 4 5 2 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6924,693776] |
[a1,a2,a3,a4,a6] |
j |
-192100033/976896 |
j-invariant |
L |
1.9694120015459 |
L(r)(E,1)/r! |
Ω |
0.49235300038619 |
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 |
30528x1 7632i1 10176m1 |
Quadratic twists by: -4 8 -3 |