Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712cx |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-2214308282368 = -1 · 216 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 2 -4 7- 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,71681] |
[a1,a2,a3,a4,a6] |
Generators |
[1191:10304:27] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
6.4180808637909 |
L(r)(E,1)/r! |
Ω |
0.66154133900703 |
Real period |
R |
4.8508539708952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75712q1 18928h1 448e1 |
Quadratic twists by: -4 8 13 |