Atkin-Lehner |
2- 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64272r |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-10267066368 = -1 · 216 · 32 · 132 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,4864] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-78:1] [34:210:1] |
Generators of the group modulo torsion |
j |
857375/2506608 |
j-invariant |
L |
8.8130080262944 |
L(r)(E,1)/r! |
Ω |
1.0100245222283 |
Real period |
R |
2.1813846674829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8034i1 |
Quadratic twists by: -4 |