Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350be |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-260100000000000 = -1 · 211 · 32 · 511 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -1 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1124,775898] |
[a1,a2,a3,a4,a6] |
j |
34822511/57600000 |
j-invariant |
L |
1.7313303177299 |
L(r)(E,1)/r! |
Ω |
0.43283257948768 |
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 |
8670s1 43350o1 |
Quadratic twists by: 5 17 |