Atkin-Lehner |
2+ 3- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
62712b |
Isogeny class |
Conductor |
62712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-1950594048 = -1 · 210 · 37 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -5 13- -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285,-1042] |
[a1,a2,a3,a4,a6] |
Generators |
[7:36:1] |
Generators of the group modulo torsion |
j |
3429500/2613 |
j-invariant |
L |
3.938657739532 |
L(r)(E,1)/r! |
Ω |
0.82470417739825 |
Real period |
R |
0.59698038514127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125424i1 20904g1 |
Quadratic twists by: -4 -3 |