Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18200r |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
15606500000000 = 28 · 59 · 74 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 6 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11908,458688] |
[a1,a2,a3,a4,a6] |
Generators |
[38:250:1] |
Generators of the group modulo torsion |
j |
46689225424/3901625 |
j-invariant |
L |
3.7462840928231 |
L(r)(E,1)/r! |
Ω |
0.68181549631579 |
Real period |
R |
0.68682145555987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36400q1 3640d1 127400br1 |
Quadratic twists by: -4 5 -7 |