Atkin-Lehner |
3- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18189c |
Isogeny class |
Conductor |
18189 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1152314748243 = -1 · 38 · 433 · 472 |
Discriminant |
Eigenvalues |
0 3- -2 0 -3 5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,744,-51053] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1057:1] |
Generators of the group modulo torsion |
j |
62476255232/1580678667 |
j-invariant |
L |
3.071965420339 |
L(r)(E,1)/r! |
Ω |
0.4200228782524 |
Real period |
R |
1.8284512459896 |
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 |
6063a1 |
Quadratic twists by: -3 |