Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fo |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
6275792960640000 = 210 · 35 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122565,16110837] |
[a1,a2,a3,a4,a6] |
j |
4927700992/151875 |
j-invariant |
L |
1.6866755160319 |
L(r)(E,1)/r! |
Ω |
0.42166887895808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040dq1 11760ci1 47040gn1 |
Quadratic twists by: -4 8 -7 |