Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
14200a |
Isogeny class |
Conductor |
14200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
98457031250000 = 24 · 513 · 712 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-650450,201914625] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:17375:1] |
Generators of the group modulo torsion |
j |
121737802368374784/393828125 |
j-invariant |
L |
4.8855789873682 |
L(r)(E,1)/r! |
Ω |
0.52305299113946 |
Real period |
R |
4.6702524124038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28400d1 113600a1 127800bo1 2840c1 |
Quadratic twists by: -4 8 -3 5 |