Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ev |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
24213461067694080 = 216 · 37 · 5 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78625,4021057] |
[a1,a2,a3,a4,a6] |
Generators |
[88179:293600:343] |
Generators of the group modulo torsion |
j |
820221748268836/369468094905 |
j-invariant |
L |
5.4247234090421 |
L(r)(E,1)/r! |
Ω |
0.33986568938429 |
Real period |
R |
7.9806870453595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dk1 21840m1 |
Quadratic twists by: -4 8 |