Atkin-Lehner |
2+ 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
12978l |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
194029613568 = 29 · 36 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24711,-1488835] |
[a1,a2,a3,a4,a6] |
Generators |
[11055:198155:27] |
Generators of the group modulo torsion |
j |
2289164655334257/266158592 |
j-invariant |
L |
3.9003101151888 |
L(r)(E,1)/r! |
Ω |
0.38078442869405 |
Real period |
R |
5.1214149283433 |
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 |
103824bu2 1442e2 90846ca2 |
Quadratic twists by: -4 -3 -7 |