Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
53400u |
Isogeny class |
Conductor |
53400 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-127705272300000000 = -1 · 28 · 315 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195833,-37592037] |
[a1,a2,a3,a4,a6] |
Generators |
[1057:30618:1] |
Generators of the group modulo torsion |
j |
-8305840000000/1277052723 |
j-invariant |
L |
8.0678843375136 |
L(r)(E,1)/r! |
Ω |
0.11252076033741 |
Real period |
R |
2.3900431983497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106800g1 53400c1 |
Quadratic twists by: -4 5 |