Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12635b |
Isogeny class |
Conductor |
12635 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-1877912789671625 = -1 · 53 · 75 · 197 |
Discriminant |
Eigenvalues |
1 1 5+ 7- 4 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,23096,-1586069] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1742:1] |
Generators of the group modulo torsion |
j |
28962726911/39916625 |
j-invariant |
L |
6.2766273390904 |
L(r)(E,1)/r! |
Ω |
0.24928458342601 |
Real period |
R |
2.5178561998613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113715bl1 63175i1 88445bs1 665a1 |
Quadratic twists by: -3 5 -7 -19 |