Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400ca |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-3135283200 = -1 · 213 · 37 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-488,4788] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-72:1] |
Generators of the group modulo torsion |
j |
-125768785/30618 |
j-invariant |
L |
4.9070273319921 |
L(r)(E,1)/r! |
Ω |
1.353101765361 |
Real period |
R |
0.12951795691126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1050b1 33600eg1 25200ds1 8400bu1 |
Quadratic twists by: -4 8 -3 5 |