Atkin-Lehner |
3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075q |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
3.2487242924752E+24 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 2 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46570126,-86275528477] |
[a1,a2,a3,a4,a6] |
Generators |
[-4949:154106:1] |
Generators of the group modulo torsion |
j |
714868089922470312576721/207918354718409765625 |
j-invariant |
L |
8.2581678496948 |
L(r)(E,1)/r! |
Ω |
0.059079266444438 |
Real period |
R |
3.3281226371568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108225q1 7215c1 |
Quadratic twists by: -3 5 |