Atkin-Lehner |
2+ 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104g |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6995982680064 = 220 · 34 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110209,14118529] |
[a1,a2,a3,a4,a6] |
Generators |
[-257:5040:1] [-96:4879:1] |
Generators of the group modulo torsion |
j |
564727473247393/26687556 |
j-invariant |
L |
7.2647744427889 |
L(r)(E,1)/r! |
Ω |
0.70342883224205 |
Real period |
R |
5.1638304472333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55104dj2 1722o2 |
Quadratic twists by: -4 8 |