Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800r |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
356250000 = 24 · 3 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -4 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,787] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:43:1] |
Generators of the group modulo torsion |
j |
160000/57 |
j-invariant |
L |
4.6943607175211 |
L(r)(E,1)/r! |
Ω |
1.5604798991675 |
Real period |
R |
3.0082801579344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11400bm1 91200iv1 68400cy1 22800bg1 |
Quadratic twists by: -4 8 -3 5 |