Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fw |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
15608335564800000 = 221 · 39 · 55 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-738507,-244201606] |
[a1,a2,a3,a4,a6] |
Generators |
[-497:270:1] |
Generators of the group modulo torsion |
j |
123286270205329/43200000 |
j-invariant |
L |
6.1781906322888 |
L(r)(E,1)/r! |
Ω |
0.16286210110198 |
Real period |
R |
1.896755164925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890ca1 29040cd1 87120fq1 |
Quadratic twists by: -4 -3 -11 |