Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36652t |
Isogeny class |
Conductor |
36652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
6141217232412416 = 28 · 79 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8988772,-10369867080] |
[a1,a2,a3,a4,a6] |
Generators |
[42418178335587133906016559:-3323417873073008756987213580:5641808224605704344747] |
Generators of the group modulo torsion |
j |
7775038157610544/594473 |
j-invariant |
L |
9.5514859138232 |
L(r)(E,1)/r! |
Ω |
0.08719156270961 |
Real period |
R |
36.515329453892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36652q2 |
Quadratic twists by: -7 |