Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11424f |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-35548015104 = -1 · 29 · 35 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 5 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-154616,23349288] |
[a1,a2,a3,a4,a6] |
Generators |
[226:18:1] |
Generators of the group modulo torsion |
j |
-798398773180392392/69429717 |
j-invariant |
L |
5.1214755543242 |
L(r)(E,1)/r! |
Ω |
0.88766404326478 |
Real period |
R |
0.57696102407029 |
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 |
11424o1 22848f1 34272bd1 79968e1 |
Quadratic twists by: -4 8 -3 -7 |