Atkin-Lehner |
2+ 3- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22110i |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
9973130062500 = 22 · 39 · 56 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26558,1656668] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:505:1] [-156:1495:1] |
Generators of the group modulo torsion |
j |
2071506520349173081/9973130062500 |
j-invariant |
L |
6.4383834343452 |
L(r)(E,1)/r! |
Ω |
0.72877031751027 |
Real period |
R |
1.4724308605079 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
66330bp1 110550be1 |
Quadratic twists by: -3 5 |