Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416n |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-42728141094912 = -1 · 218 · 39 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5940,-260496] |
[a1,a2,a3,a4,a6] |
j |
4492125/8281 |
j-invariant |
L |
1.3448910540295 |
L(r)(E,1)/r! |
Ω |
0.33622276377352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416el2 819a2 52416m2 |
Quadratic twists by: -4 8 -3 |