Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
87840bu |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
51868641600 = 26 · 312 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1137,-9884] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:54:1] |
Generators of the group modulo torsion |
j |
3484156096/1111725 |
j-invariant |
L |
7.0188293989019 |
L(r)(E,1)/r! |
Ω |
0.8428976118651 |
Real period |
R |
2.0817562251207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840u1 29280m1 |
Quadratic twists by: -4 -3 |