Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488bt |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21221062075219968 = 222 · 311 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11945964,15892048208] |
[a1,a2,a3,a4,a6] |
Generators |
[1754:18304:1] |
Generators of the group modulo torsion |
j |
986551739719628473/111045168 |
j-invariant |
L |
4.2970740905538 |
L(r)(E,1)/r! |
Ω |
0.29606899364448 |
Real period |
R |
3.6284398086225 |
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 |
7488o3 1872r4 2496u3 97344fn4 |
Quadratic twists by: -4 8 -3 13 |