Atkin-Lehner |
2- 5- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
11110j |
Isogeny class |
Conductor |
11110 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
-3640524800000 = -1 · 220 · 55 · 11 · 101 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11- -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7865,280455] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:768:1] |
Generators of the group modulo torsion |
j |
-53805087768191761/3640524800000 |
j-invariant |
L |
5.5474044028244 |
L(r)(E,1)/r! |
Ω |
0.7755294504327 |
Real period |
R |
1.7882636177547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
88880q1 99990g1 55550f1 122210e1 |
Quadratic twists by: -4 -3 5 -11 |