Atkin-Lehner |
2- 3- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520bt |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1400832 |
Modular degree for the optimal curve |
Δ |
104826407800012800 = 236 · 3 · 52 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-530320,-148005100] |
[a1,a2,a3,a4,a6] |
Generators |
[747742454550:22340218388480:549353259] |
Generators of the group modulo torsion |
j |
4026971918382673681/25592384716800 |
j-invariant |
L |
10.301426600237 |
L(r)(E,1)/r! |
Ω |
0.17698288000391 |
Real period |
R |
14.551444946968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190l1 |
Quadratic twists by: -4 |