Atkin-Lehner |
2- 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
48336bf |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
902016 |
Modular degree for the optimal curve |
Δ |
-4982436941266944 = -1 · 239 · 32 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5410192,4845392320] |
[a1,a2,a3,a4,a6] |
j |
-4275647350940405110033/1216415268864 |
j-invariant |
L |
2.7703840208698 |
L(r)(E,1)/r! |
Ω |
0.34629800270832 |
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 |
6042l1 |
Quadratic twists by: -4 |