Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
124215u |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2289925650796875 = 34 · 56 · 77 · 133 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38711,-1830886] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:469:1] |
Generators of the group modulo torsion |
j |
24820429213/8859375 |
j-invariant |
L |
3.0003433511894 |
L(r)(E,1)/r! |
Ω |
0.35042301690975 |
Real period |
R |
2.1405153081502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745y2 124215bm2 |
Quadratic twists by: -7 13 |