Atkin-Lehner |
3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
80613a |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-73728129297256083 = -1 · 39 · 132 · 536 |
Discriminant |
Eigenvalues |
0 3+ 0 1 6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-368550,87103019] |
[a1,a2,a3,a4,a6] |
Generators |
[243603:818459:729] |
Generators of the group modulo torsion |
j |
-1664312832000000/22164361129 |
j-invariant |
L |
5.5310469071875 |
L(r)(E,1)/r! |
Ω |
0.34623687940256 |
Real period |
R |
3.9936870090208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80613d1 80613b2 |
Quadratic twists by: -3 13 |