Atkin-Lehner |
2+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57134k |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-119379893248 = -1 · 210 · 73 · 112 · 532 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43531,3492150] |
[a1,a2,a3,a4,a6] |
Generators |
[111:120:1] |
Generators of the group modulo torsion |
j |
-26595685113637375/348046336 |
j-invariant |
L |
2.66404406752 |
L(r)(E,1)/r! |
Ω |
0.95485608501204 |
Real period |
R |
0.69749884542806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57134j1 |
Quadratic twists by: -7 |