Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
55664l |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
3952144 = 24 · 72 · 712 |
Discriminant |
Eigenvalues |
2- 1 1 7- 5 -6 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-450,3527] |
[a1,a2,a3,a4,a6] |
Generators |
[309:71:27] |
Generators of the group modulo torsion |
j |
12882790144/5041 |
j-invariant |
L |
7.4768690550326 |
L(r)(E,1)/r! |
Ω |
2.4335576265393 |
Real period |
R |
1.5362013567013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13916h1 55664c1 |
Quadratic twists by: -4 -7 |