Atkin-Lehner |
3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775z |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-90840234375 = -1 · 36 · 58 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11+ 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1120,1122] |
[a1,a2,a3,a4,a6] |
Generators |
[0:33:1] |
Generators of the group modulo torsion |
j |
13651919/7975 |
j-invariant |
L |
4.574148055936 |
L(r)(E,1)/r! |
Ω |
0.64871653615317 |
Real period |
R |
3.5255368114072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7975c1 14355c1 |
Quadratic twists by: -3 5 |