Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655a |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-128124628149375 = -1 · 33 · 54 · 112 · 137 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12390,-124825] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1545:1] |
Generators of the group modulo torsion |
j |
1613964717/983125 |
j-invariant |
L |
4.9034385501692 |
L(r)(E,1)/r! |
Ω |
0.33978336034083 |
Real period |
R |
3.6077683042293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83655h1 6435d1 |
Quadratic twists by: -3 13 |