Atkin-Lehner |
2+ 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464k |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
11806020864 = 28 · 310 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11- -5 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1092,-12868] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:9:1] [97:891:1] |
Generators of the group modulo torsion |
j |
771656704/63261 |
j-invariant |
L |
12.804444929738 |
L(r)(E,1)/r! |
Ω |
0.83483475074647 |
Real period |
R |
3.834424992459 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56232a1 37488a1 |
Quadratic twists by: -4 -3 |