Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43320u |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
393984 |
Modular degree for the optimal curve |
Δ |
-8152110259680000 = -1 · 28 · 3 · 54 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-729340,240024100] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:18050:1] |
Generators of the group modulo torsion |
j |
-9868374736/1875 |
j-invariant |
L |
5.4087242424971 |
L(r)(E,1)/r! |
Ω |
0.40239402026334 |
Real period |
R |
0.28002840344935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640w1 129960l1 43320p1 |
Quadratic twists by: -4 -3 -19 |