Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072cp |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1376794938703872 = -1 · 222 · 3 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -5 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24287,1039967] |
[a1,a2,a3,a4,a6] |
Generators |
[5277:98432:27] |
Generators of the group modulo torsion |
j |
6043486088375/5252055888 |
j-invariant |
L |
6.4537222165951 |
L(r)(E,1)/r! |
Ω |
0.31260275333141 |
Real period |
R |
5.1612806887236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072i1 18768h1 |
Quadratic twists by: -4 8 |