Atkin-Lehner |
3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30153b |
Isogeny class |
Conductor |
30153 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-2727610227 = -1 · 33 · 192 · 234 |
Discriminant |
Eigenvalues |
2 3+ 4 -3 2 -5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-176,-2611] |
[a1,a2,a3,a4,a6] |
j |
-2166784/9747 |
j-invariant |
L |
4.7555421338668 |
L(r)(E,1)/r! |
Ω |
0.59444276673342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90459o1 30153d1 |
Quadratic twists by: -3 -23 |