Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472z |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
77512106377216 = 216 · 72 · 176 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21964,1179120] |
[a1,a2,a3,a4,a6] |
Generators |
[118:480:1] [230:2880:1] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
13.192297850947 |
L(r)(E,1)/r! |
Ω |
0.59993519408826 |
Real period |
R |
10.994769087085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998874 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129472bv2 16184d2 448a2 |
Quadratic twists by: -4 8 17 |