Atkin-Lehner |
2+ 3- 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450bi |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
377344 |
Modular degree for the optimal curve |
Δ |
-122735296512000 = -1 · 222 · 32 · 53 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7531,588758] |
[a1,a2,a3,a4,a6] |
j |
-377823304537757/981882372096 |
j-invariant |
L |
2.0782129948886 |
L(r)(E,1)/r! |
Ω |
0.51955334007365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105450bz1 |
Quadratic twists by: 5 |