Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450t |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10596128906250000 = 24 · 36 · 512 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54942,219716] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:1348:1] |
Generators of the group modulo torsion |
j |
1610252558361/930250000 |
j-invariant |
L |
4.2569018777001 |
L(r)(E,1)/r! |
Ω |
0.34444753354597 |
Real period |
R |
3.0896591375447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3050j2 5490u2 |
Quadratic twists by: -3 5 |