Atkin-Lehner |
5- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78155j |
Isogeny class |
Conductor |
78155 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-3540020174075 = -1 · 52 · 79 · 112 · 29 |
Discriminant |
Eigenvalues |
-2 1 5- 7- 11+ 6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8150,-300044] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1347:1] |
Generators of the group modulo torsion |
j |
-508934139904/30089675 |
j-invariant |
L |
4.3332642893632 |
L(r)(E,1)/r! |
Ω |
0.25037428706346 |
Real period |
R |
2.1633932253943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165c1 |
Quadratic twists by: -7 |