Atkin-Lehner |
2- 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950ck |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
1762560 |
Modular degree for the optimal curve |
Δ |
-479696726016000000 = -1 · 217 · 33 · 56 · 234 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -5 -3 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-137038,38610692] |
[a1,a2,a3,a4,a6] |
Generators |
[188:-4510:1] |
Generators of the group modulo torsion |
j |
-18214905367183897/30700590465024 |
j-invariant |
L |
12.64102760658 |
L(r)(E,1)/r! |
Ω |
0.26430602091452 |
Real period |
R |
0.23444725691331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4278c1 |
Quadratic twists by: 5 |