Atkin-Lehner |
2- 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112bx |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
7786350415872 = 212 · 312 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6713,-165945] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:168:1] [-38:189:1] |
Generators of the group modulo torsion |
j |
8169178744000/1900964457 |
j-invariant |
L |
12.893340742484 |
L(r)(E,1)/r! |
Ω |
0.53628207430518 |
Real period |
R |
1.0017536603764 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112bq1 49056b1 |
Quadratic twists by: -4 8 |