Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218f |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-23959647459072 = -1 · 28 · 33 · 132 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -5 3 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5955,-156987] |
[a1,a2,a3,a4,a6] |
Generators |
[474:10203:1] |
Generators of the group modulo torsion |
j |
5117731739757/5250854144 |
j-invariant |
L |
6.3021738934799 |
L(r)(E,1)/r! |
Ω |
0.36587131408944 |
Real period |
R |
4.3062776816421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218bs1 88218bm1 |
Quadratic twists by: -3 13 |