Atkin-Lehner |
7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27797d |
Isogeny class |
Conductor |
27797 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-7366953036366539 = -1 · 76 · 113 · 196 |
Discriminant |
Eigenvalues |
0 -1 3 7- 11+ 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17809,-4223717] |
[a1,a2,a3,a4,a6] |
Generators |
[659:16425:1] |
Generators of the group modulo torsion |
j |
-13278380032/156590819 |
j-invariant |
L |
4.4492969735321 |
L(r)(E,1)/r! |
Ω |
0.17813087268538 |
Real period |
R |
2.0814738186861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77b1 |
Quadratic twists by: -19 |