Atkin-Lehner |
2- 3- 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850cm |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
924 |
Product of Tamagawa factors cp |
deg |
1951488 |
Modular degree for the optimal curve |
Δ |
-183109138513920000 = -1 · 222 · 37 · 54 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,93662,17389892] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:614:1] [-124:2030:1] |
Generators of the group modulo torsion |
j |
145389715452829775/292974621622272 |
j-invariant |
L |
18.033481004675 |
L(r)(E,1)/r! |
Ω |
0.22107258131644 |
Real period |
R |
0.08828211175943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850e1 |
Quadratic twists by: 5 |