Atkin-Lehner |
3- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119145g |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-842064704871975 = -1 · 35 · 52 · 137 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2116,-1396825] |
[a1,a2,a3,a4,a6] |
Generators |
[131:695:1] |
Generators of the group modulo torsion |
j |
-217081801/174455775 |
j-invariant |
L |
3.748021180458 |
L(r)(E,1)/r! |
Ω |
0.22573567589781 |
Real period |
R |
0.83017918806262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999407306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9165d1 |
Quadratic twists by: 13 |