Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360bk |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
25111473156000000 = 28 · 32 · 56 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-270300,-53460000] |
[a1,a2,a3,a4,a6] |
Generators |
[-280:440:1] |
Generators of the group modulo torsion |
j |
72516235474384/833765625 |
j-invariant |
L |
5.2865152784777 |
L(r)(E,1)/r! |
Ω |
0.20952686536053 |
Real period |
R |
2.1025606506303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999436193 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64680bf2 18480r2 |
Quadratic twists by: -4 -7 |