Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320bk |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
415696375421600000 = 28 · 55 · 72 · 139 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -6 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36611540,-85278046112] |
[a1,a2,a3,a4,a6] |
Generators |
[-3494:70:1] |
Generators of the group modulo torsion |
j |
1999160117594512/153125 |
j-invariant |
L |
3.2730849513379 |
L(r)(E,1)/r! |
Ω |
0.061375501873036 |
Real period |
R |
2.6664425148782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640bc2 47320f2 |
Quadratic twists by: -4 13 |