Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344i |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1052247836684648448 = 216 · 39 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-310284,-44607888] |
[a1,a2,a3,a4,a6] |
Generators |
[3525067:356825755:343] |
Generators of the group modulo torsion |
j |
530604/169 |
j-invariant |
L |
7.7233894416864 |
L(r)(E,1)/r! |
Ω |
0.20737130107139 |
Real period |
R |
9.311063526016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344dv2 12168a2 97344q2 7488g2 |
Quadratic twists by: -4 8 -3 13 |