Atkin-Lehner |
2+ 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
32648b |
Isogeny class |
Conductor |
32648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-609081088 = -1 · 28 · 7 · 112 · 532 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11- -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,212,0] |
[a1,a2,a3,a4,a6] |
Generators |
[16:88:1] |
Generators of the group modulo torsion |
j |
4096766000/2379223 |
j-invariant |
L |
2.6291524867328 |
L(r)(E,1)/r! |
Ω |
0.96430732295108 |
Real period |
R |
1.3632337036948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65296g1 |
Quadratic twists by: -4 |