Atkin-Lehner |
2+ 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10010b |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-384928704160 = -1 · 25 · 5 · 76 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-168,29792] |
[a1,a2,a3,a4,a6] |
j |
-529278808969/384928704160 |
j-invariant |
L |
1.5376361240115 |
L(r)(E,1)/r! |
Ω |
0.76881806200576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080bh2 90090dp2 50050bs2 70070r2 |
Quadratic twists by: -4 -3 5 -7 |