Atkin-Lehner |
2+ 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9790f |
Isogeny class |
Conductor |
9790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
13030490000 = 24 · 54 · 114 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-998,10728] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:35:1] [-31:125:1] |
Generators of the group modulo torsion |
j |
109771509498841/13030490000 |
j-invariant |
L |
3.4324372568853 |
L(r)(E,1)/r! |
Ω |
1.2185078914783 |
Real period |
R |
0.35211479557195 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320bl1 88110ca1 48950w1 107690bk1 |
Quadratic twists by: -4 -3 5 -11 |