Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920n |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1072557260006400 = 210 · 38 · 52 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35880,2076228] |
[a1,a2,a3,a4,a6] |
j |
4988766332702884/1047419199225 |
j-invariant |
L |
3.7139023457947 |
L(r)(E,1)/r! |
Ω |
0.46423779322406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
15960m3 127680dh3 95760x3 |
Quadratic twists by: -4 8 -3 |