Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600fw |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-9997074432000 = -1 · 217 · 39 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -5 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15555,762050] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-160:1] [1:864:1] |
Generators of the group modulo torsion |
j |
-1115157653/26784 |
j-invariant |
L |
10.96557313734 |
L(r)(E,1)/r! |
Ω |
0.72387022600902 |
Real period |
R |
0.47339170503329 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950bo1 37200ce1 111600fu1 |
Quadratic twists by: -4 -3 5 |