Atkin-Lehner |
2- 3+ 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850cc |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-28717056000 = -1 · 215 · 32 · 53 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -5 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4523,115481] |
[a1,a2,a3,a4,a6] |
Generators |
[35:22:1] [-45:502:1] |
Generators of the group modulo torsion |
j |
-81865225707461/229736448 |
j-invariant |
L |
12.65761703495 |
L(r)(E,1)/r! |
Ω |
1.1844460524228 |
Real period |
R |
0.17810881589849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850bo1 |
Quadratic twists by: 5 |