Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
27552z |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3526656 = -1 · 212 · 3 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5825,-173073] |
[a1,a2,a3,a4,a6] |
Generators |
[67578234:280750863:704969] |
Generators of the group modulo torsion |
j |
-5337355226176/861 |
j-invariant |
L |
7.6073319332271 |
L(r)(E,1)/r! |
Ω |
0.27323690633169 |
Real period |
R |
13.920762087667 |
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 |
27552n1 55104cg1 82656r1 |
Quadratic twists by: -4 8 -3 |