Atkin-Lehner |
2+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080j |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
60690799769600 = 211 · 52 · 73 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11536,291060] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:286:1] [-98:700:1] |
Generators of the group modulo torsion |
j |
82908135457058/29634179575 |
j-invariant |
L |
7.5676205510648 |
L(r)(E,1)/r! |
Ω |
0.57174421008977 |
Real period |
R |
0.27575051693011 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40040i2 |
Quadratic twists by: -4 |