Atkin-Lehner |
2- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
105280be |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
88671027200 = 215 · 52 · 72 · 472 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1505,-17825] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:35:1] [-17:56:1] |
Generators of the group modulo torsion |
j |
11512557512/2706025 |
j-invariant |
L |
8.2005226978161 |
L(r)(E,1)/r! |
Ω |
0.77948624251181 |
Real period |
R |
1.3150525067915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105280bi2 52640c2 |
Quadratic twists by: -4 8 |