Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930m |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-8361535021875000 = -1 · 23 · 32 · 58 · 77 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21732,4559976] |
[a1,a2,a3,a4,a6] |
Generators |
[447:8964:1] |
Generators of the group modulo torsion |
j |
-9648632960569/71071875000 |
j-invariant |
L |
3.3824846928585 |
L(r)(E,1)/r! |
Ω |
0.35535194743436 |
Real period |
R |
0.29745903298126 |
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 |
83790dr2 3990k2 |
Quadratic twists by: -3 -7 |