Atkin-Lehner |
3- 7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
107457j |
Isogeny class |
Conductor |
107457 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
557760 |
Modular degree for the optimal curve |
Δ |
-3167669711687859 = -1 · 32 · 78 · 175 · 43 |
Discriminant |
Eigenvalues |
0 3- -1 7+ -4 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,13949,-2627936] |
[a1,a2,a3,a4,a6] |
Generators |
[1122814:64290379:343] |
Generators of the group modulo torsion |
j |
52063993856/549484659 |
j-invariant |
L |
5.3107126195257 |
L(r)(E,1)/r! |
Ω |
0.22108243655942 |
Real period |
R |
12.010706850003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999042056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107457h1 |
Quadratic twists by: -7 |