Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350r |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
138489302137500000 = 25 · 33 · 58 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 3 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2080950,1154416500] |
[a1,a2,a3,a4,a6] |
j |
105695235625/14688 |
j-invariant |
L |
1.2634868575465 |
L(r)(E,1)/r! |
Ω |
0.31587171435592 |
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 |
43350cw1 2550n1 |
Quadratic twists by: 5 17 |