Atkin-Lehner |
2- 3+ 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850bu |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-16873140000000 = -1 · 28 · 3 · 57 · 193 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4188,-225219] |
[a1,a2,a3,a4,a6] |
Generators |
[165:-1983:1] |
Generators of the group modulo torsion |
j |
-519912412921/1079880960 |
j-invariant |
L |
6.348054852981 |
L(r)(E,1)/r! |
Ω |
0.278419064356 |
Real period |
R |
0.47500749985133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999319285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370g1 |
Quadratic twists by: 5 |