Atkin-Lehner |
2+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54910q |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
407592 |
Modular degree for the optimal curve |
Δ |
-132539391379000 = -1 · 23 · 53 · 178 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 6 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14023,844578] |
[a1,a2,a3,a4,a6] |
j |
-43713001/19000 |
j-invariant |
L |
0.54704100312111 |
L(r)(E,1)/r! |
Ω |
0.54704100199291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54910c1 |
Quadratic twists by: 17 |