Atkin-Lehner |
2- 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300ba |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-16495312500000000 = -1 · 28 · 33 · 514 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 1 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32092,-5758812] |
[a1,a2,a3,a4,a6] |
j |
913777664816/4123828125 |
j-invariant |
L |
3.5524611780278 |
L(r)(E,1)/r! |
Ω |
0.19735895107793 |
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 |
23460a1 |
Quadratic twists by: 5 |