Atkin-Lehner |
2+ 7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
96922h |
Isogeny class |
Conductor |
96922 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-291925374358378012 = -1 · 22 · 79 · 232 · 434 |
Discriminant |
Eigenvalues |
2+ -2 4 7- 4 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,124826,-19677276] |
[a1,a2,a3,a4,a6] |
Generators |
[3246:77493:8] |
Generators of the group modulo torsion |
j |
1828334419523639/2481324740188 |
j-invariant |
L |
4.5490358708055 |
L(r)(E,1)/r! |
Ω |
0.16385926262984 |
Real period |
R |
3.4702309435476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13846d1 |
Quadratic twists by: -7 |