Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344g |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-90213291896832 = -1 · 212 · 33 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6084,492128] |
[a1,a2,a3,a4,a6] |
Generators |
[4:684:1] |
Generators of the group modulo torsion |
j |
-46656/169 |
j-invariant |
L |
7.5312338318209 |
L(r)(E,1)/r! |
Ω |
0.52794645820538 |
Real period |
R |
3.5662867457818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344f2 48672d1 97344n2 7488c2 |
Quadratic twists by: -4 8 -3 13 |