Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98208f |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12197263896576 = 212 · 38 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14844,-675520] |
[a1,a2,a3,a4,a6] |
j |
121140419392/4084839 |
j-invariant |
L |
1.733683523008 |
L(r)(E,1)/r! |
Ω |
0.43342091019257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208n3 32736j3 |
Quadratic twists by: -4 -3 |