Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ey |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
63428811264000 = 212 · 34 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-174585,-28016775] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:45:1] |
Generators of the group modulo torsion |
j |
143676927944065216/15485549625 |
j-invariant |
L |
5.010464731729 |
L(r)(E,1)/r! |
Ω |
0.23356105282975 |
Real period |
R |
1.7877069944477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360hc1 43680m1 |
Quadratic twists by: -4 8 |