Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800dd |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-108748800000000 = -1 · 219 · 32 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 3 -1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1208,501588] |
[a1,a2,a3,a4,a6] |
Generators |
[67:852:1] |
Generators of the group modulo torsion |
j |
-121945/67968 |
j-invariant |
L |
8.4858639643895 |
L(r)(E,1)/r! |
Ω |
0.48114746378979 |
Real period |
R |
4.4091804502642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850d1 70800ba1 |
Quadratic twists by: -4 5 |