Atkin-Lehner |
2- 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112bz |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
155648 |
Modular degree for the optimal curve |
Δ |
96127782912 = 212 · 38 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4985,132999] |
[a1,a2,a3,a4,a6] |
Generators |
[55:168:1] [-65:432:1] |
Generators of the group modulo torsion |
j |
3345387034816/23468697 |
j-invariant |
L |
10.515467617622 |
L(r)(E,1)/r! |
Ω |
1.0731102939309 |
Real period |
R |
0.61244098556505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112bt1 49056d1 |
Quadratic twists by: -4 8 |