Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496k |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
180780429312 = 212 · 38 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,-5920] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:45:1] [-22:124:1] |
Generators of the group modulo torsion |
j |
113379904/60543 |
j-invariant |
L |
7.9591697863592 |
L(r)(E,1)/r! |
Ω |
0.82223043480508 |
Real period |
R |
1.20999683444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496cb2 124992bp1 20832v2 |
Quadratic twists by: -4 8 -3 |