Atkin-Lehner |
2- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400be |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-58188745932800 = -1 · 219 · 52 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -3 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23408,1418708] |
[a1,a2,a3,a4,a6] |
Generators |
[284:4214:1] |
Generators of the group modulo torsion |
j |
-13852725705625/568249472 |
j-invariant |
L |
5.6981285863868 |
L(r)(E,1)/r! |
Ω |
0.62086201804689 |
Real period |
R |
1.1472211947959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15050u1 120400ch1 |
Quadratic twists by: -4 5 |