Atkin-Lehner |
3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241u |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
6562418042817 = 32 · 77 · 134 · 31 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4754,-27357] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:250:1] [-17:229:1] |
Generators of the group modulo torsion |
j |
100999381393/55779633 |
j-invariant |
L |
6.5525377070541 |
L(r)(E,1)/r! |
Ω |
0.6154995177232 |
Real period |
R |
2.6614715033799 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463a1 |
Quadratic twists by: -7 |