Atkin-Lehner |
2+ 3- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110bj |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1047195033243652800 = 26 · 39 · 52 · 136 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2039409,-1119405987] |
[a1,a2,a3,a4,a6] |
Generators |
[-813:1284:1] |
Generators of the group modulo torsion |
j |
1286794802841578988049/1436481527083200 |
j-invariant |
L |
5.4968159694714 |
L(r)(E,1)/r! |
Ω |
0.1263434032883 |
Real period |
R |
0.90639476510417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370bd2 |
Quadratic twists by: -3 |