Atkin-Lehner |
2- 3+ 5- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450bz |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1886720 |
Modular degree for the optimal curve |
Δ |
-1917739008000000000 = -1 · 222 · 32 · 59 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188263,73594781] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:9282:1] |
Generators of the group modulo torsion |
j |
-377823304537757/981882372096 |
j-invariant |
L |
10.605378620674 |
L(r)(E,1)/r! |
Ω |
0.23235131726835 |
Real period |
R |
1.0373572865741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105450bi1 |
Quadratic twists by: 5 |