Atkin-Lehner |
2+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60352f |
Isogeny class |
Conductor |
60352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
88838144 = 212 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 -6 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116,-160] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:16:1] [-2:8:1] |
Generators of the group modulo torsion |
j |
42144192/21689 |
j-invariant |
L |
7.1514795876488 |
L(r)(E,1)/r! |
Ω |
1.5378646909474 |
Real period |
R |
2.3251329033528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60352a1 30176b1 |
Quadratic twists by: -4 8 |