Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15288u |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1517400404222976 = 210 · 32 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-463752,121696380] |
[a1,a2,a3,a4,a6] |
Generators |
[4622:310960:1] |
Generators of the group modulo torsion |
j |
91557481657828/12595401 |
j-invariant |
L |
4.4252850436114 |
L(r)(E,1)/r! |
Ω |
0.46002616901179 |
Real period |
R |
4.809818812175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30576v4 122304eg4 45864n4 2184m3 |
Quadratic twists by: -4 8 -3 -7 |