Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18200a |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
4076800 = 28 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-313,2237] |
[a1,a2,a3,a4,a6] |
Generators |
[13:14:1] |
Generators of the group modulo torsion |
j |
531573760/637 |
j-invariant |
L |
3.952544669378 |
L(r)(E,1)/r! |
Ω |
2.4624233511185 |
Real period |
R |
0.20064303055274 |
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 |
36400j1 18200bb1 127400j1 |
Quadratic twists by: -4 5 -7 |