Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496bs |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1531439856576 = -1 · 26 · 38 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2319,41200] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:140:1] [12:266:1] |
Generators of the group modulo torsion |
j |
29560954688/32824071 |
j-invariant |
L |
9.0620441504247 |
L(r)(E,1)/r! |
Ω |
0.56335957659797 |
Real period |
R |
2.68095325699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496bl1 124992fu2 20832q1 |
Quadratic twists by: -4 8 -3 |