Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232dk |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-1923264 = -1 · 26 · 34 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 0 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21,63] |
[a1,a2,a3,a4,a6] |
Generators |
[6:21:1] |
Generators of the group modulo torsion |
j |
15252992/30051 |
j-invariant |
L |
10.843619151371 |
L(r)(E,1)/r! |
Ω |
1.8150634977282 |
Real period |
R |
1.4935592012794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232cd1 35616r1 |
Quadratic twists by: -4 8 |