Atkin-Lehner |
2- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53720h |
Isogeny class |
Conductor |
53720 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-42976000 = -1 · 28 · 53 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 4 0 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-932,-10956] |
[a1,a2,a3,a4,a6] |
Generators |
[68:490:1] |
Generators of the group modulo torsion |
j |
-349728869376/167875 |
j-invariant |
L |
6.9569714088502 |
L(r)(E,1)/r! |
Ω |
0.43201922814909 |
Real period |
R |
2.6838972880401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107440g1 |
Quadratic twists by: -4 |