Atkin-Lehner |
2+ 3- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546u |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6685125143292288 = 27 · 312 · 74 · 11 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52452,2442960] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:2598:1] |
Generators of the group modulo torsion |
j |
21892078604418625/9170267686272 |
j-invariant |
L |
4.4743042518171 |
L(r)(E,1)/r! |
Ω |
0.38121036019359 |
Real period |
R |
1.4671375446004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28182x2 |
Quadratic twists by: -3 |