Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800ba |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
147061250000 = 24 · 57 · 76 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2450,-42875] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:57:1] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
4.3090312969926 |
L(r)(E,1)/r! |
Ω |
0.68251473746037 |
Real period |
R |
3.1567313205766 |
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 |
19600i1 78400w1 88200ct1 1960b1 |
Quadratic twists by: -4 8 -3 5 |