Atkin-Lehner |
2- 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102544j |
Isogeny class |
Conductor |
102544 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-6533471707070464 = -1 · 222 · 13 · 173 · 293 |
Discriminant |
Eigenvalues |
2- 2 3 -2 3 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3944,-3888784] |
[a1,a2,a3,a4,a6] |
Generators |
[4930:346086:1] |
Generators of the group modulo torsion |
j |
-1656855346537/1595085865984 |
j-invariant |
L |
12.67419140857 |
L(r)(E,1)/r! |
Ω |
0.19050170207342 |
Real period |
R |
3.6961441129224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12818c1 |
Quadratic twists by: -4 |