Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800bf |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-16470860000000 = -1 · 28 · 57 · 77 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,-196363] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2450:1] |
Generators of the group modulo torsion |
j |
-1024/35 |
j-invariant |
L |
3.3364689980402 |
L(r)(E,1)/r! |
Ω |
0.30297459018301 |
Real period |
R |
0.68827327153592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600m1 78400bi1 88200cy1 1960f1 |
Quadratic twists by: -4 8 -3 5 |