Atkin-Lehner |
2- 3+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270v |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1631344072723200 = 28 · 33 · 52 · 116 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-108473,-13585703] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:428:1] [-193:460:1] |
Generators of the group modulo torsion |
j |
5227826295027098547/60420150841600 |
j-invariant |
L |
13.355082244799 |
L(r)(E,1)/r! |
Ω |
0.26325270455204 |
Real period |
R |
0.5284482842709 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72270f2 |
Quadratic twists by: -3 |