Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
51480m |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
145113825542400 = 28 · 38 · 52 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83703,-9302902] |
[a1,a2,a3,a4,a6] |
j |
347519589019216/777573225 |
j-invariant |
L |
2.2457565358036 |
L(r)(E,1)/r! |
Ω |
0.28071956703047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102960z2 17160t2 |
Quadratic twists by: -4 -3 |