Atkin-Lehner |
2- 3- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822z |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-12907342092201984 = -1 · 212 · 38 · 75 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,29956,-5096257] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2605:1] |
Generators of the group modulo torsion |
j |
4078131646070663/17705544708096 |
j-invariant |
L |
12.514917544475 |
L(r)(E,1)/r! |
Ω |
0.20169483014277 |
Real period |
R |
2.5853657096012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000604 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274s1 |
Quadratic twists by: -3 |