Atkin-Lehner |
2- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38192t |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-460396310528 = -1 · 212 · 73 · 11 · 313 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11+ -2 -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7224,236180] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:112:1] [52:62:1] |
Generators of the group modulo torsion |
j |
-10180218348217/112401443 |
j-invariant |
L |
9.2646912244588 |
L(r)(E,1)/r! |
Ω |
0.94075842314844 |
Real period |
R |
0.27355857537951 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2387a1 |
Quadratic twists by: -4 |