Atkin-Lehner |
2- 3+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590z |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-23673591576000 = -1 · 26 · 33 · 53 · 194 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3682,-218643] |
[a1,a2,a3,a4,a6] |
j |
204513449781213/876799688000 |
j-invariant |
L |
4.0936259020449 |
L(r)(E,1)/r! |
Ω |
0.34113549185833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49590h1 |
Quadratic twists by: -3 |