Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gq |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1503057434707648512 = 213 · 310 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-892731,-319256854] |
[a1,a2,a3,a4,a6] |
Generators |
[-521:2106:1] |
Generators of the group modulo torsion |
j |
223980311017/4278582 |
j-invariant |
L |
3.948471755758 |
L(r)(E,1)/r! |
Ω |
0.15549745946238 |
Real period |
R |
3.1740645228424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702bx4 25872bm3 11088bm4 |
Quadratic twists by: -4 -3 -7 |