Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368g |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-828209276928 = -1 · 211 · 34 · 115 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 11- 4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1576,36048] |
[a1,a2,a3,a4,a6] |
Generators |
[2:198:1] |
Generators of the group modulo torsion |
j |
211245177166/404399061 |
j-invariant |
L |
3.7079669600632 |
L(r)(E,1)/r! |
Ω |
0.61474558064058 |
Real period |
R |
0.30158549136697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8184f1 65472cl1 49104n1 |
Quadratic twists by: -4 8 -3 |