Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31080bd |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
232866900000000 = 28 · 35 · 58 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16780,395600] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:-750:1] |
Generators of the group modulo torsion |
j |
2041199708829136/909636328125 |
j-invariant |
L |
7.6070774602174 |
L(r)(E,1)/r! |
Ω |
0.50107551499109 |
Real period |
R |
0.18976873825976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160j2 93240o2 |
Quadratic twists by: -4 -3 |