Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400cr |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-542700000000 = -1 · 28 · 34 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1333,40537] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:178:1] [-8:225:1] |
Generators of the group modulo torsion |
j |
-2621440/5427 |
j-invariant |
L |
7.9505952478322 |
L(r)(E,1)/r! |
Ω |
0.82193323275475 |
Real period |
R |
0.80608689072879 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20100j1 80400cz1 |
Quadratic twists by: -4 5 |