Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800y |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-232915500000000 = -1 · 28 · 38 · 59 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 6 3 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32700,-2391500] |
[a1,a2,a3,a4,a6] |
Generators |
[210:50:1] |
Generators of the group modulo torsion |
j |
-1326109696/79875 |
j-invariant |
L |
9.2793144888699 |
L(r)(E,1)/r! |
Ω |
0.17689669915274 |
Real period |
R |
3.2785075074827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999988503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600bd1 25560f1 |
Quadratic twists by: -3 5 |