Atkin-Lehner |
2+ 3- 11- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614n |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
243329991865488 = 24 · 39 · 11 · 174 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50301,-4264331] |
[a1,a2,a3,a4,a6] |
Generators |
[365:4907:1] |
Generators of the group modulo torsion |
j |
19307715797662417/333785997072 |
j-invariant |
L |
6.6274944020126 |
L(r)(E,1)/r! |
Ω |
0.31912474787174 |
Real period |
R |
2.595965394041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32538n1 |
Quadratic twists by: -3 |