Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080fs |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-367276032000 = -1 · 215 · 37 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 6 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,-20464] |
[a1,a2,a3,a4,a6] |
j |
13481272/15375 |
j-invariant |
L |
6.170367887839 |
L(r)(E,1)/r! |
Ω |
0.51419727723874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080ft1 59040bl1 39360bx1 |
Quadratic twists by: -4 8 -3 |