Atkin-Lehner |
2+ 3- 7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
102942x |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
678948443796333312 = 28 · 320 · 72 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25898607,-50723260371] |
[a1,a2,a3,a4,a6] |
j |
2635271769212431100592625/931342172560128 |
j-invariant |
L |
2.1415609913781 |
L(r)(E,1)/r! |
Ω |
0.066923779824689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34314ba2 |
Quadratic twists by: -3 |