Atkin-Lehner |
2+ 3+ 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258b |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.4838131172767E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1215441,-305094471] |
[a1,a2,a3,a4,a6] |
Generators |
[-508:13729:1] |
Generators of the group modulo torsion |
j |
198575615278591137916057/74838131172767177292 |
j-invariant |
L |
3.0773438654039 |
L(r)(E,1)/r! |
Ω |
0.14839580509267 |
Real period |
R |
2.5921755870071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81774bq4 |
Quadratic twists by: -3 |