Atkin-Lehner |
3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18837n |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
257859693 = 36 · 7 · 133 · 23 |
Discriminant |
Eigenvalues |
0 3- 0 7- 3 13- 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,-1845] |
[a1,a2,a3,a4,a6] |
Generators |
[23:58:1] |
Generators of the group modulo torsion |
j |
4096000000/353717 |
j-invariant |
L |
4.7250923541383 |
L(r)(E,1)/r! |
Ω |
1.1534631233776 |
Real period |
R |
0.68273998222881 |
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 |
2093h1 |
Quadratic twists by: -3 |