Atkin-Lehner |
2+ 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
12978k |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7365377990299392 = 28 · 318 · 7 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71937,-6154691] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:887:1] |
Generators of the group modulo torsion |
j |
56475039965604625/10103399163648 |
j-invariant |
L |
3.4724007482815 |
L(r)(E,1)/r! |
Ω |
0.29509654844477 |
Real period |
R |
2.9417497142731 |
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 |
103824bt2 4326i2 90846by2 |
Quadratic twists by: -4 -3 -7 |