Atkin-Lehner |
2- 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bq |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-15335377137561600 = -1 · 212 · 316 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6000,5962752] |
[a1,a2,a3,a4,a6] |
j |
-5832972054001/3743988558975 |
j-invariant |
L |
2.5461192659857 |
L(r)(E,1)/r! |
Ω |
0.3182650603439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7455g1 |
Quadratic twists by: -4 |