Atkin-Lehner |
3- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
106425x |
Isogeny class |
Conductor |
106425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1080000 |
Modular degree for the optimal curve |
Δ |
9860284564453125 = 36 · 59 · 115 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 11+ 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-168375,26160156] |
[a1,a2,a3,a4,a6] |
Generators |
[750:17937:1] |
Generators of the group modulo torsion |
j |
370765205504/6925193 |
j-invariant |
L |
3.4259866394252 |
L(r)(E,1)/r! |
Ω |
0.40835315694338 |
Real period |
R |
4.1948819652567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11825i1 106425z1 |
Quadratic twists by: -3 5 |