Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450t |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-678543090820312500 = -1 · 22 · 36 · 518 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,219558,1592216] |
[a1,a2,a3,a4,a6] |
Generators |
[23:2568:1] |
Generators of the group modulo torsion |
j |
102759703687719/59570312500 |
j-invariant |
L |
4.2569018777001 |
L(r)(E,1)/r! |
Ω |
0.17222376677298 |
Real period |
R |
6.1793182750893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3050j4 5490u4 |
Quadratic twists by: -3 5 |