Atkin-Lehner |
2+ 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49818o |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-4440754799352 = -1 · 23 · 33 · 197 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 2 -3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4340,149258] |
[a1,a2,a3,a4,a6] |
j |
-192100033/94392 |
j-invariant |
L |
4.3385763027408 |
L(r)(E,1)/r! |
Ω |
0.72309605056504 |
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 |
2622c1 |
Quadratic twists by: -19 |