Atkin-Lehner |
2- 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290ce |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-83323852260480 = -1 · 27 · 36 · 5 · 136 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -5 13- -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32177,2272609] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-508:1] |
Generators of the group modulo torsion |
j |
-5053824794819529/114298837120 |
j-invariant |
L |
10.53169176241 |
L(r)(E,1)/r! |
Ω |
0.6069903334735 |
Real period |
R |
0.20655565001886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4810a1 |
Quadratic twists by: -3 |