Atkin-Lehner |
2- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36176y |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
60354301952 = 212 · 74 · 17 · 192 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13504,599412] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:1064:1] [28:494:1] |
Generators of the group modulo torsion |
j |
66494115285697/14734937 |
j-invariant |
L |
6.0268867652617 |
L(r)(E,1)/r! |
Ω |
1.0800139665753 |
Real period |
R |
0.69754731788008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2261a1 |
Quadratic twists by: -4 |