Atkin-Lehner |
2- 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850cx |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
-1.0839318167854E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ 4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-89184563,-324571530783] |
[a1,a2,a3,a4,a6] |
j |
-125519950986011873834697025/173429090685668032512 |
j-invariant |
L |
3.2421648716702 |
L(r)(E,1)/r! |
Ω |
0.024561855089354 |
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 |
47850e1 |
Quadratic twists by: 5 |