Atkin-Lehner |
2- 3+ 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
116820d |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
655872 |
Modular degree for the optimal curve |
Δ |
-198675605779200 = -1 · 28 · 33 · 52 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- -5 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50352,4401396] |
[a1,a2,a3,a4,a6] |
Generators |
[157:605:1] |
Generators of the group modulo torsion |
j |
-2042538067427328/28743577225 |
j-invariant |
L |
9.1126149684267 |
L(r)(E,1)/r! |
Ω |
0.56670700078193 |
Real period |
R |
0.57428359701068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116820a1 |
Quadratic twists by: -3 |