Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080f |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
220449600 = 26 · 39 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-297,-1836] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:10:1] |
Generators of the group modulo torsion |
j |
2299968/175 |
j-invariant |
L |
4.8299066345055 |
L(r)(E,1)/r! |
Ω |
1.1555697952121 |
Real period |
R |
2.0898376950131 |
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 |
10080bi1 20160i2 10080be1 50400ce1 |
Quadratic twists by: -4 8 -3 5 |