Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216bq |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-17337229258752 = -1 · 212 · 37 · 13 · 533 |
Discriminant |
Eigenvalues |
2- 3- 0 4 3 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-282720,-57860944] |
[a1,a2,a3,a4,a6] |
Generators |
[22234267:2872250993:1331] |
Generators of the group modulo torsion |
j |
-836962177024000/5806203 |
j-invariant |
L |
9.0296315707939 |
L(r)(E,1)/r! |
Ω |
0.10352142587269 |
Real period |
R |
14.537460072249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6201e2 33072o2 |
Quadratic twists by: -4 -3 |