Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072ba |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4.5398170220274E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-377363451,2819687888950] |
[a1,a2,a3,a4,a6] |
Generators |
[22394689504811736099582:247918944089853664299815:1871407545882461432] |
Generators of the group modulo torsion |
j |
3980574313395222561735026/3040751070352312317 |
j-invariant |
L |
4.5134968519764 |
L(r)(E,1)/r! |
Ω |
0.076786307602646 |
Real period |
R |
29.389984956229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024l4 |
Quadratic twists by: -3 |