Atkin-Lehner |
2- 3- 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37884l |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
49056 |
Modular degree for the optimal curve |
Δ |
-730950413424 = -1 · 24 · 3 · 77 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11+ -1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1066,39249] |
[a1,a2,a3,a4,a6] |
j |
8365037151488/45684400839 |
j-invariant |
L |
3.9012312405625 |
L(r)(E,1)/r! |
Ω |
0.65020520676026 |
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 |
113652n1 |
Quadratic twists by: -3 |