Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248q |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-157087468779208704 = -1 · 222 · 36 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,110463,-12767265] |
[a1,a2,a3,a4,a6] |
Generators |
[52143:943200:343] |
Generators of the group modulo torsion |
j |
568630774259423/599241137616 |
j-invariant |
L |
8.1704838749396 |
L(r)(E,1)/r! |
Ω |
0.17554115032596 |
Real period |
R |
7.7574250252276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999567 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248bx2 1914l2 |
Quadratic twists by: -4 8 |