Atkin-Lehner |
2+ 3- 11- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418n |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.8345577227489E+22 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11- 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-222165,6516821493] |
[a1,a2,a3,a4,a6] |
Generators |
[-326:81123:1] |
Generators of the group modulo torsion |
j |
-1663505367015669841/25165400860753072128 |
j-invariant |
L |
7.3893872304948 |
L(r)(E,1)/r! |
Ω |
0.097967132692875 |
Real period |
R |
1.5714001523558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25806l2 |
Quadratic twists by: -3 |