Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072g |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1248256 |
Modular degree for the optimal curve |
Δ |
603094760183513088 = 214 · 323 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -1 0 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-438181,-105058307] |
[a1,a2,a3,a4,a6] |
Generators |
[-6106070195612429331118596:11276428797655355405874755:13550881758896664601957] |
Generators of the group modulo torsion |
j |
567891528853175296/36809982921357 |
j-invariant |
L |
7.4580914573433 |
L(r)(E,1)/r! |
Ω |
0.18631551700938 |
Real period |
R |
40.029362970169 |
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 |
75072cz1 9384d1 |
Quadratic twists by: -4 8 |