Atkin-Lehner |
5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36575c |
Isogeny class |
Conductor |
36575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9196898046875 = 58 · 72 · 113 · 192 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ 11+ 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-177813,-28874258] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:134:1] |
Generators of the group modulo torsion |
j |
39791871606904201/588601475 |
j-invariant |
L |
1.7322959831089 |
L(r)(E,1)/r! |
Ω |
0.23249255491633 |
Real period |
R |
1.8627435013263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315d2 |
Quadratic twists by: 5 |