Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450bm |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1440000 |
Modular degree for the optimal curve |
Δ |
-1405955951887500000 = -1 · 25 · 311 · 58 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,257508,26858416] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:2378:1] |
Generators of the group modulo torsion |
j |
6631432874015/4937239008 |
j-invariant |
L |
5.6521661982444 |
L(r)(E,1)/r! |
Ω |
0.17234739183004 |
Real period |
R |
2.7329328570093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150bs1 99450df1 |
Quadratic twists by: -3 5 |