Atkin-Lehner |
2- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
71632j |
Isogeny class |
Conductor |
71632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
126900457552 = 24 · 118 · 37 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1936,27951] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:1815:8] |
Generators of the group modulo torsion |
j |
28311552/4477 |
j-invariant |
L |
3.1823709447937 |
L(r)(E,1)/r! |
Ω |
0.99799712579976 |
Real period |
R |
3.1887576252927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17908a1 6512b1 |
Quadratic twists by: -4 -11 |