Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760br |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4165267031654400 = 216 · 32 · 52 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54896,-3837504] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:490:1] |
Generators of the group modulo torsion |
j |
37966934881/8643600 |
j-invariant |
L |
3.3177736297946 |
L(r)(E,1)/r! |
Ω |
0.31699548405408 |
Real period |
R |
2.6165779929759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1470p2 47040hc2 35280fq2 58800iz2 |
Quadratic twists by: -4 8 -3 5 |