Atkin-Lehner |
3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62361a |
Isogeny class |
Conductor |
62361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1205568 |
Modular degree for the optimal curve |
Δ |
-4561340876402360427 = -1 · 39 · 1310 · 412 |
Discriminant |
Eigenvalues |
0 3+ 2 3 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1542294,-744349642] |
[a1,a2,a3,a4,a6] |
Generators |
[2866559767300768:105488043065899905:1299310870528] |
Generators of the group modulo torsion |
j |
-149520384/1681 |
j-invariant |
L |
6.6932107675603 |
L(r)(E,1)/r! |
Ω |
0.067691926350016 |
Real period |
R |
24.719383567811 |
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 |
62361c1 62361d1 |
Quadratic twists by: -3 13 |