Atkin-Lehner |
2+ 3+ 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450r |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
695520 |
Modular degree for the optimal curve |
Δ |
-171785922656250 = -1 · 2 · 3 · 58 · 77 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -4 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-166700,26135250] |
[a1,a2,a3,a4,a6] |
Generators |
[235:-205:1] |
Generators of the group modulo torsion |
j |
-1311518882250985/439771962 |
j-invariant |
L |
4.7926445314902 |
L(r)(E,1)/r! |
Ω |
0.56060769491678 |
Real period |
R |
0.40709603237314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450ck1 |
Quadratic twists by: 5 |