Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080w |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9185400000000 = -1 · 29 · 38 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4173,102454] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:270:1] |
Generators of the group modulo torsion |
j |
21531355768/24609375 |
j-invariant |
L |
4.7530983943812 |
L(r)(E,1)/r! |
Ω |
0.48634793179276 |
Real period |
R |
0.61081507749766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10080z4 20160dq4 3360s4 50400do2 |
Quadratic twists by: -4 8 -3 5 |