Atkin-Lehner |
2+ 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168v |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
20782272 = 26 · 3 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- -4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180,966] |
[a1,a2,a3,a4,a6] |
Generators |
[11:14:1] [23:92:1] |
Generators of the group modulo torsion |
j |
10133786944/324723 |
j-invariant |
L |
6.4885904194084 |
L(r)(E,1)/r! |
Ω |
2.144885518269 |
Real period |
R |
3.0251453348477 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bi1 31584ba2 |
Quadratic twists by: -4 8 |