Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480x |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6234681600 = 28 · 32 · 52 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6580,-203228] |
[a1,a2,a3,a4,a6] |
j |
123091319776336/24354225 |
j-invariant |
L |
2.1203264395407 |
L(r)(E,1)/r! |
Ω |
0.53008160988541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78960y2 118440bb2 |
Quadratic twists by: -4 -3 |