Atkin-Lehner |
2- 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
84816t |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-436168654848 = -1 · 215 · 36 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 5 4 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1869,6514] |
[a1,a2,a3,a4,a6] |
j |
241804367/146072 |
j-invariant |
L |
2.3105286499136 |
L(r)(E,1)/r! |
Ω |
0.57763218786919 |
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 |
10602d1 9424e1 |
Quadratic twists by: -4 -3 |