Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350cf |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
29109638868750000 = 24 · 32 · 58 · 11 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-193338,31658292] |
[a1,a2,a3,a4,a6] |
Generators |
[-378:7314:1] |
Generators of the group modulo torsion |
j |
51151160533082329/1863016887600 |
j-invariant |
L |
10.365538608632 |
L(r)(E,1)/r! |
Ω |
0.37016627649924 |
Real period |
R |
0.58338302196365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050r2 6270a2 |
Quadratic twists by: -3 5 |