Atkin-Lehner |
2- 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53724j |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5587815188736 = -1 · 28 · 32 · 116 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4316,-30604] |
[a1,a2,a3,a4,a6] |
j |
19600688/12321 |
j-invariant |
L |
3.50141213736 |
L(r)(E,1)/r! |
Ω |
0.43767651700722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
444b2 |
Quadratic twists by: -11 |