Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200bk |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
259706250000 = 24 · 37 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -4 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,19375] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:225:1] |
Generators of the group modulo torsion |
j |
160000/57 |
j-invariant |
L |
4.6620159543043 |
L(r)(E,1)/r! |
Ω |
0.90094348984936 |
Real period |
R |
0.21560804528944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400cy1 11400bm1 34200cj1 |
Quadratic twists by: -4 -3 5 |