Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040f |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-2.7984196602557E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 1 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1924001,-2743984095] |
[a1,a2,a3,a4,a6] |
j |
-10637008249/37791360 |
j-invariant |
L |
1.8817943329 |
L(r)(E,1)/r! |
Ω |
0.058806072910605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040fw1 1470g1 47040cv1 |
Quadratic twists by: -4 8 -7 |