Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360ca |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
184492455840000 = 28 · 34 · 54 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16676,-515460] |
[a1,a2,a3,a4,a6] |
j |
17029316176/6125625 |
j-invariant |
L |
3.4614556115497 |
L(r)(E,1)/r! |
Ω |
0.43268189448129 |
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 |
64680bg2 2640f2 |
Quadratic twists by: -4 -7 |