Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43350bu |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-187922250000000 = -1 · 27 · 32 · 59 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -5 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14299,44048] |
[a1,a2,a3,a4,a6] |
j |
1982251/1152 |
j-invariant |
L |
1.3676326319484 |
L(r)(E,1)/r! |
Ω |
0.34190815798948 |
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 |
43350cr1 43350u1 |
Quadratic twists by: 5 17 |