Atkin-Lehner |
3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
80613m |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
3882973702636393677 = 312 · 1310 · 53 |
Discriminant |
Eigenvalues |
2 3- -2 -5 -4 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-599781,151580367] |
[a1,a2,a3,a4,a6] |
Generators |
[-3297904:43450141:4096] |
Generators of the group modulo torsion |
j |
237432832/38637 |
j-invariant |
L |
5.4966984178357 |
L(r)(E,1)/r! |
Ω |
0.23705252994058 |
Real period |
R |
11.593840445118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26871e1 80613n1 |
Quadratic twists by: -3 13 |