Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4018h |
Isogeny class |
Conductor |
4018 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
36482975534693408 = 25 · 714 · 412 |
Discriminant |
Eigenvalues |
2+ -2 2 7- -6 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-108855,-10335622] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:596:1] |
Generators of the group modulo torsion |
j |
1212480836738137/310100175392 |
j-invariant |
L |
2.0410505840799 |
L(r)(E,1)/r! |
Ω |
0.2677973738556 |
Real period |
R |
3.8108114256199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32144ba2 128576bq2 36162cq2 100450bx2 |
Quadratic twists by: -4 8 -3 5 |