Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ik |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
95432218076676096 = 215 · 38 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123937,7777055] |
[a1,a2,a3,a4,a6] |
Generators |
[1361:48600:1] |
Generators of the group modulo torsion |
j |
159220088/72171 |
j-invariant |
L |
10.690507994243 |
L(r)(E,1)/r! |
Ω |
0.30294482385159 |
Real period |
R |
4.4110788288091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488fk2 51744j2 103488gk2 |
Quadratic twists by: -4 8 -7 |