Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1008a |
Isogeny class |
Conductor |
1008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
2204496 = 24 · 39 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -6 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54,135] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
55296/7 |
j-invariant |
L |
2.5401586121906 |
L(r)(E,1)/r! |
Ω |
2.5074269992407 |
Real period |
R |
2.026107729525 |
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 |
504b1 4032u1 1008b1 25200n1 |
Quadratic twists by: -4 8 -3 5 |