Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428bc |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3199330877184 = 28 · 39 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4869111,4135448590] |
[a1,a2,a3,a4,a6] |
Generators |
[159055:11934:125] [-178:70686:1] |
Generators of the group modulo torsion |
j |
31136886750912784/7803 |
j-invariant |
L |
10.637423765401 |
L(r)(E,1)/r! |
Ω |
0.4693301299406 |
Real period |
R |
1.8887600090592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34476r2 103428z2 |
Quadratic twists by: -3 13 |