Atkin-Lehner |
2- 3+ 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bn |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1568214576923904 = -1 · 28 · 39 · 74 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-182304926291,-29960224241110541] |
[a1,a2,a3,a4,a6] |
Generators |
[30818779319575:24975064796492114:34328125] |
Generators of the group modulo torsion |
j |
-34042984961059681977989225569081419/79673554688 |
j-invariant |
L |
14.807396046839 |
L(r)(E,1)/r! |
Ω |
0.0036531706339271 |
Real period |
R |
21.110936810448 |
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 |
96642k1 |
Quadratic twists by: -3 |