Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840cu |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
28200960 |
Modular degree for the optimal curve |
Δ |
-5.6370560541486E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ -2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,152080984,-885259543116] |
[a1,a2,a3,a4,a6] |
Generators |
[86110:25509168:1] |
Generators of the group modulo torsion |
j |
94970451538205961115211351/137623438821988460701800 |
j-invariant |
L |
5.3086893700521 |
L(r)(E,1)/r! |
Ω |
0.027475546157051 |
Real period |
R |
0.71034949448159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230f1 |
Quadratic twists by: -4 |