Atkin-Lehner |
2+ 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
9798f |
Isogeny class |
Conductor |
9798 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-35485142256 = -1 · 24 · 310 · 232 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -4 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,458,-8200] |
[a1,a2,a3,a4,a6] |
Generators |
[25:125:1] |
Generators of the group modulo torsion |
j |
10658167234343/35485142256 |
j-invariant |
L |
2.8122825180964 |
L(r)(E,1)/r! |
Ω |
0.59182631818251 |
Real period |
R |
0.47518713374101 |
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 |
78384o1 29394j1 |
Quadratic twists by: -4 -3 |