Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680z |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
55007289630720000 = 216 · 312 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134774305,602269905697] |
[a1,a2,a3,a4,a6] |
Generators |
[6719:2280:1] |
Generators of the group modulo torsion |
j |
4131094099264285425041956/839344629375 |
j-invariant |
L |
6.2245002843599 |
L(r)(E,1)/r! |
Ω |
0.20609522622806 |
Real period |
R |
1.8876287045242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680gh4 15960c3 |
Quadratic twists by: -4 8 |