Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
42300v |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-685260000000 = -1 · 28 · 36 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10200,398500] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:225:1] [20:-450:1] |
Generators of the group modulo torsion |
j |
-40247296/235 |
j-invariant |
L |
8.6435709301622 |
L(r)(E,1)/r! |
Ω |
0.9111626959797 |
Real period |
R |
0.39526287714128 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4700b1 8460c1 |
Quadratic twists by: -3 5 |