Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
13632t |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-23556096 = -1 · 212 · 34 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -6 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,71,71] |
[a1,a2,a3,a4,a6] |
Generators |
[1:12:1] [2:15:1] |
Generators of the group modulo torsion |
j |
9528128/5751 |
j-invariant |
L |
6.3711702366995 |
L(r)(E,1)/r! |
Ω |
1.3096698581915 |
Real period |
R |
1.2161786798501 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13632n1 6816a1 40896bo1 |
Quadratic twists by: -4 8 -3 |