Atkin-Lehner |
2- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96832bf |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
964608 |
Modular degree for the optimal curve |
Δ |
241171316117504 = 212 · 174 · 893 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 -4 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-940729,-351505209] |
[a1,a2,a3,a4,a6] |
Generators |
[1615:-48416:1] [1139:7480:1] |
Generators of the group modulo torsion |
j |
22478008065004948672/58879715849 |
j-invariant |
L |
5.4974430771799 |
L(r)(E,1)/r! |
Ω |
0.15329692782696 |
Real period |
R |
2.9884503424076 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96832bd1 48416g1 |
Quadratic twists by: -4 8 |