Atkin-Lehner |
2- 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124270w |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
464640 |
Modular degree for the optimal curve |
Δ |
3999927203840 = 211 · 5 · 173 · 433 |
Discriminant |
Eigenvalues |
2- -2 5- 3 0 -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17465,-884615] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:107:1] |
Generators of the group modulo torsion |
j |
119917971107297/814151680 |
j-invariant |
L |
8.4068192782092 |
L(r)(E,1)/r! |
Ω |
0.41546548906344 |
Real period |
R |
0.91975906258124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124270s1 |
Quadratic twists by: 17 |