Atkin-Lehner |
2- 3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42504l |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1032337152 = -1 · 28 · 32 · 7 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,252,-252] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-66:1] |
Generators of the group modulo torsion |
j |
6885902000/4032567 |
j-invariant |
L |
3.8603264551133 |
L(r)(E,1)/r! |
Ω |
0.91685855848797 |
Real period |
R |
0.52629797957571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85008v2 127512g2 |
Quadratic twists by: -4 -3 |