Atkin-Lehner |
2- 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
127534p |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
5258106427904 = 29 · 117 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -2 1 -3 11- 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9380,331024] |
[a1,a2,a3,a4,a6] |
Generators |
[76:204:1] |
Generators of the group modulo torsion |
j |
51520374361/2968064 |
j-invariant |
L |
5.9128816211481 |
L(r)(E,1)/r! |
Ω |
0.75296246819159 |
Real period |
R |
0.21813399710055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999296931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11594a1 |
Quadratic twists by: -11 |