Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52632l |
Isogeny class |
Conductor |
52632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-2464124976 = -1 · 24 · 36 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 0 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-462,-4507] |
[a1,a2,a3,a4,a6] |
Generators |
[89:812:1] |
Generators of the group modulo torsion |
j |
-934979584/211259 |
j-invariant |
L |
4.7042037526287 |
L(r)(E,1)/r! |
Ω |
0.50876655558312 |
Real period |
R |
4.6231456264407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105264h1 5848c1 |
Quadratic twists by: -4 -3 |