Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960v |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
48161309184000 = 212 · 313 · 53 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -5 5 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22152,1224304] |
[a1,a2,a3,a4,a6] |
Generators |
[308:4860:1] [-12:1220:1] |
Generators of the group modulo torsion |
j |
402601199104/16129125 |
j-invariant |
L |
10.878813639087 |
L(r)(E,1)/r! |
Ω |
0.63026295803589 |
Real period |
R |
0.719198067831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960bj1 28320u1 |
Quadratic twists by: -4 -3 |