Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536bh |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
198026242670592 = 214 · 314 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50993,-4397169] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:228:1] |
Generators of the group modulo torsion |
j |
895043160898000/12086562663 |
j-invariant |
L |
6.0910084914711 |
L(r)(E,1)/r! |
Ω |
0.31796266704915 |
Real period |
R |
1.3683116925102 |
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 |
25536cc2 1596a2 76608bp2 |
Quadratic twists by: -4 8 -3 |