Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240u |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
13046544000000 = 210 · 32 · 56 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7616,185220] |
[a1,a2,a3,a4,a6] |
Generators |
[91:504:1] |
Generators of the group modulo torsion |
j |
47715731304196/12740765625 |
j-invariant |
L |
8.3696925713736 |
L(r)(E,1)/r! |
Ω |
0.66226490790083 |
Real period |
R |
3.1594957208899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001124 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36120c2 |
Quadratic twists by: -4 |