Atkin-Lehner |
2+ 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584j |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-332204738448384 = -1 · 210 · 312 · 193 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -3 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27856,1983536] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:456:1] [-100:1944:1] |
Generators of the group modulo torsion |
j |
-2334509294836036/324418689891 |
j-invariant |
L |
9.1287229095957 |
L(r)(E,1)/r! |
Ω |
0.52391410475584 |
Real period |
R |
0.2420011544601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168f1 121752be1 |
Quadratic twists by: -4 -3 |