Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ex |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
8607680019671040000 = 214 · 310 · 54 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1108200,-425896848] |
[a1,a2,a3,a4,a6] |
j |
312341975961049/17862322500 |
j-invariant |
L |
2.3627213594945 |
L(r)(E,1)/r! |
Ω |
0.14766999685744 |
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 |
16170bd2 2640r2 |
Quadratic twists by: -4 -7 |