Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bx |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-627752419983360 = -1 · 236 · 32 · 5 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18800,-1555008] |
[a1,a2,a3,a4,a6] |
Generators |
[213168364248:12336393355264:63521199] |
Generators of the group modulo torsion |
j |
-179415687049201/153259868160 |
j-invariant |
L |
5.7368135977442 |
L(r)(E,1)/r! |
Ω |
0.19678311898714 |
Real period |
R |
14.576488133874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6090ba1 |
Quadratic twists by: -4 |