Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
103428o |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
1903668524651088 = 24 · 38 · 137 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50700,3860129] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:2873:1] [40:1377:1] |
Generators of the group modulo torsion |
j |
256000000/33813 |
j-invariant |
L |
11.396599563516 |
L(r)(E,1)/r! |
Ω |
0.45073519848039 |
Real period |
R |
1.053519487086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34476a1 7956f1 |
Quadratic twists by: -3 13 |