Atkin-Lehner |
2- 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41952l |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-1411946869963567104 = -1 · 212 · 36 · 197 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 3 2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1223789,524619141] |
[a1,a2,a3,a4,a6] |
j |
-49486159972538348032/344713591299699 |
j-invariant |
L |
2.1702307577207 |
L(r)(E,1)/r! |
Ω |
0.27127884470191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41952r1 83904bq1 125856l1 |
Quadratic twists by: -4 8 -3 |