Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13888s |
Isogeny class |
Conductor |
13888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1543012352 = 215 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -6 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-332,-1360] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:31:1] |
Generators of the group modulo torsion |
j |
123505992/47089 |
j-invariant |
L |
2.7970434291043 |
L(r)(E,1)/r! |
Ω |
1.154947532175 |
Real period |
R |
1.2108963183101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13888p2 6944b2 124992gi2 97216cd2 |
Quadratic twists by: -4 8 -3 -7 |