Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488gk |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
811160469504 = 215 · 38 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2529,-21951] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:140:1] [-16:119:1] |
Generators of the group modulo torsion |
j |
159220088/72171 |
j-invariant |
L |
8.8893705430264 |
L(r)(E,1)/r! |
Ω |
0.70258157281501 |
Real period |
R |
6.326219535449 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488hu2 51744bl2 103488ik2 |
Quadratic twists by: -4 8 -7 |