Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775bz |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5803200 |
Modular degree for the optimal curve |
Δ |
-2.817448354839E+23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 13+ -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,16371367,-1454243731] |
[a1,a2,a3,a4,a6] |
Generators |
[643:96637:1] |
Generators of the group modulo torsion |
j |
633814853024541310976/367993254509587395 |
j-invariant |
L |
5.835201448641 |
L(r)(E,1)/r! |
Ω |
0.057842644328876 |
Real period |
R |
5.0440306769683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9555h1 47775d1 |
Quadratic twists by: 5 -7 |