Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344dk |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6.6406035920337E+22 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 0 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31346796,-68680293968] |
[a1,a2,a3,a4,a6] |
Generators |
[2516051799012433685973935164313173031318996138372520:-468830579238071489378688295436368549791142921187804492:70568068638044730105149219529468815377228531375] |
Generators of the group modulo torsion |
j |
-1680914269/32768 |
j-invariant |
L |
9.934786966266 |
L(r)(E,1)/r! |
Ω |
0.031865405684228 |
Real period |
R |
77.943358580738 |
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 |
97344gn2 3042o2 10816t2 97344dn2 |
Quadratic twists by: -4 8 -3 13 |