Atkin-Lehner |
2- 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010bp |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152320 |
Modular degree for the optimal curve |
Δ |
16303059843750 = 2 · 311 · 57 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18563,-949219] |
[a1,a2,a3,a4,a6] |
Generators |
[-86490:103171:1000] |
Generators of the group modulo torsion |
j |
970328403297001/22363593750 |
j-invariant |
L |
10.375632102977 |
L(r)(E,1)/r! |
Ω |
0.40958954548546 |
Real period |
R |
6.332944906269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17670i1 |
Quadratic twists by: -3 |