Atkin-Lehner |
2- 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
60512f |
Isogeny class |
Conductor |
60512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-240111616 = -1 · 212 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 2 1 5 -3 -5 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-751] |
[a1,a2,a3,a4,a6] |
Generators |
[40:243:1] |
Generators of the group modulo torsion |
j |
-7529536/58621 |
j-invariant |
L |
11.35128454894 |
L(r)(E,1)/r! |
Ω |
0.7408455960849 |
Real period |
R |
3.8305163075973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60512h1 121024q1 |
Quadratic twists by: -4 8 |