Atkin-Lehner |
2+ 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216d |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1837056 |
Modular degree for the optimal curve |
Δ |
-3357671064431164416 = -1 · 210 · 33 · 138 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79611,-88584070] |
[a1,a2,a3,a4,a6] |
j |
-2018269832704524/121443542550317 |
j-invariant |
L |
1.3244666311333 |
L(r)(E,1)/r! |
Ω |
0.11037224402125 |
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 |
49608b1 99216b1 |
Quadratic twists by: -4 -3 |