Atkin-Lehner |
2- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63920h |
Isogeny class |
Conductor |
63920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
278179840 = 212 · 5 · 172 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -3 3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,1712] |
[a1,a2,a3,a4,a6] |
Generators |
[2:34:1] |
Generators of the group modulo torsion |
j |
594823321/67915 |
j-invariant |
L |
4.3509723806636 |
L(r)(E,1)/r! |
Ω |
1.68104007625 |
Real period |
R |
0.64706553428362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3995d1 |
Quadratic twists by: -4 |