Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216l |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
-385751808 = -1 · 28 · 37 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 5 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-2212] |
[a1,a2,a3,a4,a6] |
Generators |
[1227:7541:27] |
Generators of the group modulo torsion |
j |
-16000000/2067 |
j-invariant |
L |
7.0799524713931 |
L(r)(E,1)/r! |
Ω |
0.56946707877411 |
Real period |
R |
6.2162965517976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49608o1 33072d1 |
Quadratic twists by: -4 -3 |