Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560f |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-135475200 = -1 · 212 · 33 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168,1008] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:36:1] [4:-20:1] |
Generators of the group modulo torsion |
j |
-96768/25 |
j-invariant |
L |
9.9656978805595 |
L(r)(E,1)/r! |
Ω |
1.7549620010355 |
Real period |
R |
0.70982291031805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560ce1 70560cn1 70560j1 |
Quadratic twists by: -4 -3 -7 |