Atkin-Lehner |
2+ 3- 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
102942u |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
8673968685312 = 28 · 39 · 72 · 19 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6777,163053] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:612:1] [-9:477:1] |
Generators of the group modulo torsion |
j |
47222033748625/11898448128 |
j-invariant |
L |
8.6956612732639 |
L(r)(E,1)/r! |
Ω |
0.68734702892683 |
Real period |
R |
1.5813811849924 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34314z1 |
Quadratic twists by: -3 |