Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130bs |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
884933021610000 = 24 · 32 · 54 · 11 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26180,778752] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:1600:1] |
Generators of the group modulo torsion |
j |
42180533641/18810000 |
j-invariant |
L |
15.515198804935 |
L(r)(E,1)/r! |
Ω |
0.4482848246212 |
Real period |
R |
4.3262670009071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035324 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6270c1 |
Quadratic twists by: -19 |