Atkin-Lehner |
3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5355o |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-91383937155 = -1 · 312 · 5 · 7 · 173 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 6 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1272,22725] |
[a1,a2,a3,a4,a6] |
j |
-312217698304/125355195 |
j-invariant |
L |
2.0119368098675 |
L(r)(E,1)/r! |
Ω |
1.0059684049338 |
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 |
85680fb1 1785l1 26775bd1 37485bb1 |
Quadratic twists by: -4 -3 5 -7 |