Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216br |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-17331057229824 = -1 · 215 · 310 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 2 1 13- 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14043,671114] |
[a1,a2,a3,a4,a6] |
Generators |
[79:234:1] |
Generators of the group modulo torsion |
j |
-102568953241/5804136 |
j-invariant |
L |
6.9146298912947 |
L(r)(E,1)/r! |
Ω |
0.6832169983367 |
Real period |
R |
1.2650866968739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12402l1 33072p1 |
Quadratic twists by: -4 -3 |