Atkin-Lehner |
2- 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15540a |
Isogeny class |
Conductor |
15540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-360845543650878720 = -1 · 28 · 36 · 5 · 710 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114756,32583240] |
[a1,a2,a3,a4,a6] |
j |
-652850493568273744/1409552904886245 |
j-invariant |
L |
1.6113663200045 |
L(r)(E,1)/r! |
Ω |
0.26856105333408 |
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 |
62160cl2 46620v2 77700w2 108780bl2 |
Quadratic twists by: -4 -3 5 -7 |