Atkin-Lehner |
2+ 3- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62730n |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
14152369766400 = 216 · 36 · 52 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54774,-4917132] |
[a1,a2,a3,a4,a6] |
Generators |
[-1074:987:8] |
Generators of the group modulo torsion |
j |
24930099747662689/19413401600 |
j-invariant |
L |
4.1906418853626 |
L(r)(E,1)/r! |
Ω |
0.31208713770674 |
Real period |
R |
3.3569485720065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6970f1 |
Quadratic twists by: -3 |