Atkin-Lehner |
5- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43225f |
Isogeny class |
Conductor |
43225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
7042433125 = 54 · 74 · 13 · 192 |
Discriminant |
Eigenvalues |
0 -1 5- 7+ -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-533,-2307] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:24:1] [-13:47:1] |
Generators of the group modulo torsion |
j |
26843545600/11267893 |
j-invariant |
L |
5.9565000755223 |
L(r)(E,1)/r! |
Ω |
1.0313011048275 |
Real period |
R |
0.48130948756874 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43225c1 |
Quadratic twists by: 5 |