Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360z |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6806213684202240 = -1 · 28 · 32 · 5 · 79 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32356,-4547024] |
[a1,a2,a3,a4,a6] |
Generators |
[504:10340:1] |
Generators of the group modulo torsion |
j |
-362642992/658845 |
j-invariant |
L |
5.2998553717937 |
L(r)(E,1)/r! |
Ω |
0.16783237029919 |
Real period |
R |
3.9472833449146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680p2 129360da2 |
Quadratic twists by: -4 -7 |