Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800p |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1291315424000 = -1 · 28 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -1 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,327,-54517] |
[a1,a2,a3,a4,a6] |
Generators |
[79:686:1] |
Generators of the group modulo torsion |
j |
1024/343 |
j-invariant |
L |
4.9772979528254 |
L(r)(E,1)/r! |
Ω |
0.40339027555679 |
Real period |
R |
0.3855833183165 |
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 |
19600bi1 78400ev1 88200ia1 9800bn1 |
Quadratic twists by: -4 8 -3 5 |