Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072cf |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1842725989122048 = -1 · 226 · 35 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 -3 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8865,2093121] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:1536:1] |
Generators of the group modulo torsion |
j |
-293946977449/7029441792 |
j-invariant |
L |
2.9588807415141 |
L(r)(E,1)/r! |
Ω |
0.3934868414553 |
Real period |
R |
1.8799108585883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072bi1 18768x1 |
Quadratic twists by: -4 8 |