Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800bg |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-13176688000000 = -1 · 210 · 56 · 77 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,174812] |
[a1,a2,a3,a4,a6] |
Generators |
[446:9408:1] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
6.1657840477586 |
L(r)(E,1)/r! |
Ω |
0.57017692801935 |
Real period |
R |
2.7034520973941 |
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 |
19600w1 78400cq1 88200bo1 392d1 |
Quadratic twists by: -4 8 -3 5 |