Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400be |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-1772928000 = -1 · 210 · 36 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328,-2948] |
[a1,a2,a3,a4,a6] |
Generators |
[886:26352:1] |
Generators of the group modulo torsion |
j |
-30581492/13851 |
j-invariant |
L |
4.5121171910243 |
L(r)(E,1)/r! |
Ω |
0.54877663490632 |
Real period |
R |
4.1110689705243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22800bp1 91200ev1 34200bm1 11400r1 |
Quadratic twists by: -4 8 -3 5 |