Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600c |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-11212800 = -1 · 211 · 3 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 -3 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168,912] |
[a1,a2,a3,a4,a6] |
Generators |
[8:4:1] |
Generators of the group modulo torsion |
j |
-10303010/219 |
j-invariant |
L |
5.4540591325878 |
L(r)(E,1)/r! |
Ω |
2.2700053580719 |
Real period |
R |
0.60066588764388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43800m1 87600z1 |
Quadratic twists by: -4 5 |