Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13888w |
Isogeny class |
Conductor |
13888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-304869376 = -1 · 212 · 74 · 31 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89,871] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:32:1] [-6:35:1] |
Generators of the group modulo torsion |
j |
-19248832/74431 |
j-invariant |
L |
4.496993009476 |
L(r)(E,1)/r! |
Ω |
1.5056643004429 |
Real period |
R |
0.74667922460424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13888n1 6944h1 124992gu1 97216bt1 |
Quadratic twists by: -4 8 -3 -7 |