Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976bm |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-9.3633741961293E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,299292,1470875924] |
[a1,a2,a3,a4,a6] |
Generators |
[700:44982:1] |
Generators of the group modulo torsion |
j |
135037162496/42645837339 |
j-invariant |
L |
5.7379588115177 |
L(r)(E,1)/r! |
Ω |
0.12176339607705 |
Real period |
R |
1.9634933391147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952bh1 19992b1 8568i1 |
Quadratic twists by: -4 -3 -7 |