Atkin-Lehner |
2+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350br |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
329280 |
Modular degree for the optimal curve |
Δ |
-22650250000000 = -1 · 27 · 59 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -3 3 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12450,576500] |
[a1,a2,a3,a4,a6] |
j |
-2230283909/236672 |
j-invariant |
L |
2.6384932473268 |
L(r)(E,1)/r! |
Ω |
0.6596233418387 |
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 |
105350dk1 105350bc1 |
Quadratic twists by: 5 -7 |