Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18200u |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
105499940000000 = 28 · 57 · 74 · 133 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -2 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89908,10334688] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:2450:1] [-182:4550:1] |
Generators of the group modulo torsion |
j |
20093868785104/26374985 |
j-invariant |
L |
5.475859052927 |
L(r)(E,1)/r! |
Ω |
0.59429735555809 |
Real period |
R |
0.19195844617019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36400g1 3640b1 127400bo1 |
Quadratic twists by: -4 5 -7 |