Atkin-Lehner |
2+ 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480h |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-178133760 = -1 · 28 · 32 · 5 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,140,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] |
Generators of the group modulo torsion |
j |
1176960944/695835 |
j-invariant |
L |
3.8551864927779 |
L(r)(E,1)/r! |
Ω |
1.0562966009268 |
Real period |
R |
1.8248598402172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960ba2 118440cb2 |
Quadratic twists by: -4 -3 |