Atkin-Lehner |
3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763bf |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1073778369639003 = -1 · 37 · 79 · 233 |
Discriminant |
Eigenvalues |
-2 3- -2 7- -3 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,22916,-830714] |
[a1,a2,a3,a4,a6] |
Generators |
[38:310:1] [44:514:1] |
Generators of the group modulo torsion |
j |
929714176/750141 |
j-invariant |
L |
5.5105650958853 |
L(r)(E,1)/r! |
Ω |
0.27234760822001 |
Real period |
R |
0.36131379594778 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11109b1 77763be1 |
Quadratic twists by: -7 -23 |