Atkin-Lehner |
3- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725bz |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-12248396015625 = -1 · 37 · 57 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5687,-32758] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-271:1] |
Generators of the group modulo torsion |
j |
1301812981559/783897345 |
j-invariant |
L |
5.615983487725 |
L(r)(E,1)/r! |
Ω |
0.4146515632235 |
Real period |
R |
0.16123645071524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21945i1 |
Quadratic twists by: 5 |