Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080m |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-725483520 = -1 · 217 · 33 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 4 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-1296] |
[a1,a2,a3,a4,a6] |
j |
-54/205 |
j-invariant |
L |
2.9116880173706 |
L(r)(E,1)/r! |
Ω |
0.72792193982979 |
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 |
118080dm1 14760a1 118080g1 |
Quadratic twists by: -4 8 -3 |