Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386s |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
14425175423232 = 28 · 38 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8388,234576] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:699:1] |
Generators of the group modulo torsion |
j |
761048497/168192 |
j-invariant |
L |
3.551296554195 |
L(r)(E,1)/r! |
Ω |
0.66318857840345 |
Real period |
R |
1.3387204898873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21462bb1 1314c1 |
Quadratic twists by: -3 -7 |