Atkin-Lehner |
3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775d |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
40622400 |
Modular degree for the optimal curve |
Δ |
-3.3146998149846E+28 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 13- 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,802196967,500409993593] |
[a1,a2,a3,a4,a6] |
j |
633814853024541310976/367993254509587395 |
j-invariant |
L |
0.57706672512571 |
L(r)(E,1)/r! |
Ω |
0.022194874037743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9555n1 47775bz1 |
Quadratic twists by: 5 -7 |