Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384cl |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-357985419264 = -1 · 219 · 33 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 11- 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11916,-501488] |
[a1,a2,a3,a4,a6] |
j |
-26436959739/50578 |
j-invariant |
L |
5.4827488088609 |
L(r)(E,1)/r! |
Ω |
0.22844788585609 |
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 |
120384b1 30096l1 120384ce2 |
Quadratic twists by: -4 8 -3 |