Atkin-Lehner |
2- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648x |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
33521551079661568 = 213 · 72 · 113 · 894 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11- -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-208675,-35617374] |
[a1,a2,a3,a4,a6] |
Generators |
[575:5874:1] |
Generators of the group modulo torsion |
j |
245343767873765625/8183972431558 |
j-invariant |
L |
5.7568512308407 |
L(r)(E,1)/r! |
Ω |
0.22383093968075 |
Real period |
R |
1.0716516783128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999632227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13706a2 |
Quadratic twists by: -4 |