Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34200bf |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-443232000000 = -1 · 211 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,44750] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:250:1] |
Generators of the group modulo torsion |
j |
-31250/19 |
j-invariant |
L |
4.280021798193 |
L(r)(E,1)/r! |
Ω |
0.87006476006937 |
Real period |
R |
2.4595995577682 |
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 |
68400bm1 3800g1 1368h1 |
Quadratic twists by: -4 -3 5 |