Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344es |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.1576066845219E+23 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20703852,-39783592368] |
[a1,a2,a3,a4,a6] |
Generators |
[3717165549907474:-139620680993274272:621305555437] |
Generators of the group modulo torsion |
j |
-1064019559329/125497034 |
j-invariant |
L |
7.0078895497977 |
L(r)(E,1)/r! |
Ω |
0.035155240214698 |
Real period |
R |
24.917656325911 |
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 |
97344bc2 24336bl2 10816bk2 7488bz2 |
Quadratic twists by: -4 8 -3 13 |