Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958bm |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-800161218648576 = -1 · 29 · 33 · 17 · 237 |
Discriminant |
Eigenvalues |
2- 3- 1 0 6 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-95760,-11494656] |
[a1,a2,a3,a4,a6] |
Generators |
[366:1404:1] |
Generators of the group modulo torsion |
j |
-656008386769/5405184 |
j-invariant |
L |
13.306398119766 |
L(r)(E,1)/r! |
Ω |
0.13563129546106 |
Real period |
R |
1.8167988380326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346i1 |
Quadratic twists by: -23 |