Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384bc |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
13251306621763584 = 230 · 310 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215436,-38087440] |
[a1,a2,a3,a4,a6] |
Generators |
[36196:293085:64] |
Generators of the group modulo torsion |
j |
5786435182177/69341184 |
j-invariant |
L |
3.7251011321785 |
L(r)(E,1)/r! |
Ω |
0.22176072920934 |
Real period |
R |
8.3989197440786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384dk1 3762h1 40128m1 |
Quadratic twists by: -4 8 -3 |