Atkin-Lehner |
2- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53428b |
Isogeny class |
Conductor |
53428 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
410400 |
Modular degree for the optimal curve |
Δ |
-160868309124352 = -1 · 28 · 198 · 37 |
Discriminant |
Eigenvalues |
2- -2 4 2 6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70876,-7311948] |
[a1,a2,a3,a4,a6] |
j |
-9056464/37 |
j-invariant |
L |
3.9491336240789 |
L(r)(E,1)/r! |
Ω |
0.14626420828047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53428g1 |
Quadratic twists by: -19 |