Atkin-Lehner |
2+ 3- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550bc |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1056000 |
Modular degree for the optimal curve |
Δ |
-55553688000000000 = -1 · 212 · 35 · 59 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-98576,-16455202] |
[a1,a2,a3,a4,a6] |
Generators |
[441:4867:1] |
Generators of the group modulo torsion |
j |
-54237656249477/28443488256 |
j-invariant |
L |
4.5983682531987 |
L(r)(E,1)/r! |
Ω |
0.13147860462315 |
Real period |
R |
3.4974270099715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104550br1 |
Quadratic twists by: 5 |