Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416g |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3125901929472 = -1 · 210 · 33 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2968,-106396] |
[a1,a2,a3,a4,a6] |
Generators |
[98:744:1] |
Generators of the group modulo torsion |
j |
-2824631270500/3052638603 |
j-invariant |
L |
5.239784115608 |
L(r)(E,1)/r! |
Ω |
0.31017384736665 |
Real period |
R |
1.4077546511667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5208k2 41664ch2 31248j2 72912c2 |
Quadratic twists by: -4 8 -3 -7 |