Atkin-Lehner |
2+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842b |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
56749139168876 = 22 · 78 · 113 · 432 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23895,-1376674] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:260:1] |
Generators of the group modulo torsion |
j |
1133549877202163/42636468196 |
j-invariant |
L |
3.4004636490307 |
L(r)(E,1)/r! |
Ω |
0.38488350092502 |
Real period |
R |
2.2087616392524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72842r2 |
Quadratic twists by: -11 |