Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fq |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-48910417920 = -1 · 214 · 38 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,175,10545] |
[a1,a2,a3,a4,a6] |
Generators |
[237:3648:1] |
Generators of the group modulo torsion |
j |
35969456/2985255 |
j-invariant |
L |
7.1520548855848 |
L(r)(E,1)/r! |
Ω |
0.86378505600757 |
Real period |
R |
4.1399505806995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dg1 21840q1 |
Quadratic twists by: -4 8 |