Atkin-Lehner |
2+ 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336m |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
848285208576 = 212 · 36 · 132 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3177,53865] |
[a1,a2,a3,a4,a6] |
j |
866068216768/207100881 |
j-invariant |
L |
1.673117246839 |
L(r)(E,1)/r! |
Ω |
0.8365586030365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102336bf2 51168f1 |
Quadratic twists by: -4 8 |