Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63536a |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
590976 |
Modular degree for the optimal curve |
Δ |
481398686791632016 = 24 · 116 · 198 |
Discriminant |
Eigenvalues |
2+ -1 -1 0 11+ 5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-345236,70695967] |
[a1,a2,a3,a4,a6] |
Generators |
[-481:11191:1] |
Generators of the group modulo torsion |
j |
16746513664/1771561 |
j-invariant |
L |
4.9299013782025 |
L(r)(E,1)/r! |
Ω |
0.28624291544604 |
Real period |
R |
2.870464858085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31768b1 63536c1 |
Quadratic twists by: -4 -19 |