Atkin-Lehner |
2+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
113216f |
Isogeny class |
Conductor |
113216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3281372839936 = 220 · 292 · 612 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3724,-7440] |
[a1,a2,a3,a4,a6] |
Generators |
[-655:13653:125] |
Generators of the group modulo torsion |
j |
21787771257/12517444 |
j-invariant |
L |
4.8820071351019 |
L(r)(E,1)/r! |
Ω |
0.6640919772671 |
Real period |
R |
7.3514019722003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000130475 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113216l2 3538a2 |
Quadratic twists by: -4 8 |