Atkin-Lehner |
2- 3+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450bu |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
326400 |
Modular degree for the optimal curve |
Δ |
-358021730893050 = -1 · 2 · 317 · 52 · 7 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4778,917201] |
[a1,a2,a3,a4,a6] |
Generators |
[330562:51535151:54872] |
Generators of the group modulo torsion |
j |
-482533889849545/14320869235722 |
j-invariant |
L |
9.0450919610522 |
L(r)(E,1)/r! |
Ω |
0.4494277679463 |
Real period |
R |
10.062898434504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450bn1 |
Quadratic twists by: 5 |