Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168w |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2327614464 = 210 · 3 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1309,-17651] |
[a1,a2,a3,a4,a6] |
Generators |
[45:112:1] |
Generators of the group modulo torsion |
j |
242423339008/2273061 |
j-invariant |
L |
5.2219565704317 |
L(r)(E,1)/r! |
Ω |
0.79411388417946 |
Real period |
R |
2.1919427740714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168cv1 7896c1 |
Quadratic twists by: -4 8 |