Atkin-Lehner |
2- 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
720f |
Isogeny class |
Conductor |
720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-40310784000 = -1 · 214 · 39 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,837,2538] |
[a1,a2,a3,a4,a6] |
j |
804357/500 |
j-invariant |
L |
1.4202443487364 |
L(r)(E,1)/r! |
Ω |
0.71012217436818 |
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 |
90b3 2880x3 720g1 3600z3 |
Quadratic twists by: -4 8 -3 5 |