Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072cc |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-421627183497216 = -1 · 223 · 35 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 6 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3615,983169] |
[a1,a2,a3,a4,a6] |
Generators |
[11:1012:1] |
Generators of the group modulo torsion |
j |
19924551431/1608380064 |
j-invariant |
L |
5.5686190420934 |
L(r)(E,1)/r! |
Ω |
0.40577974539532 |
Real period |
R |
2.2872092159387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072bd1 18768w1 |
Quadratic twists by: -4 8 |