Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080fp |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
24791132160000 = 214 · 310 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41052,3192496] |
[a1,a2,a3,a4,a6] |
j |
640588599376/2075625 |
j-invariant |
L |
5.3978482006008 |
L(r)(E,1)/r! |
Ω |
0.67473100603559 |
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 |
118080ch1 29520j1 39360ct1 |
Quadratic twists by: -4 8 -3 |