Atkin-Lehner |
3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075b |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-12662325 = -1 · 34 · 52 · 132 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 -6 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48,-234] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-67:1] |
Generators of the group modulo torsion |
j |
-489860905/506493 |
j-invariant |
L |
2.2945609004326 |
L(r)(E,1)/r! |
Ω |
0.87081784063483 |
Real period |
R |
0.65873733672009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108225g1 36075y1 |
Quadratic twists by: -3 5 |