Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550a |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
-5162954452992000000 = -1 · 218 · 36 · 56 · 73 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-172700,-112830000] |
[a1,a2,a3,a4,a6] |
Generators |
[146480600:4638842900:117649] |
Generators of the group modulo torsion |
j |
-36457310584626625/330429084991488 |
j-invariant |
L |
3.5973443625913 |
L(r)(E,1)/r! |
Ω |
0.10246366270899 |
Real period |
R |
8.7771222232601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2982j1 |
Quadratic twists by: 5 |