Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bj |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
209920 |
Modular degree for the optimal curve |
Δ |
-1638000000000 = -1 · 210 · 32 · 59 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2792,22912] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:108:1] |
Generators of the group modulo torsion |
j |
1203052/819 |
j-invariant |
L |
6.346075904247 |
L(r)(E,1)/r! |
Ω |
0.53105143864541 |
Real period |
R |
2.9875052773649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600cp1 109200ci1 |
Quadratic twists by: -4 5 |