Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344c |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-97286227504128 = -1 · 210 · 39 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 0 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-474552] |
[a1,a2,a3,a4,a6] |
Generators |
[282490:4697693:1000] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
8.6362072421644 |
L(r)(E,1)/r! |
Ω |
0.27499053525635 |
Real period |
R |
7.8513677120074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344ds3 6084a3 97344c1 576a3 |
Quadratic twists by: -4 8 -3 13 |