Atkin-Lehner |
2+ 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450bj |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-7068384000 = -1 · 28 · 37 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 1 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,468,976] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:23:1] [8:-76:1] |
Generators of the group modulo torsion |
j |
124251499/77568 |
j-invariant |
L |
6.5061484246039 |
L(r)(E,1)/r! |
Ω |
0.82186348009102 |
Real period |
R |
0.49477107377087 |
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 |
15150bh1 45450cp1 |
Quadratic twists by: -3 5 |