Atkin-Lehner |
3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361c |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-83721994026363 = -1 · 39 · 74 · 116 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ 11- 7 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,440228] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
1.9291796931863 |
L(r)(E,1)/r! |
Ω |
0.48229492311034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361c1 53361j2 441b2 |
Quadratic twists by: -3 -7 -11 |