Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600cu |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
9261000000 = 26 · 33 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6358,-197212] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:6:1] |
Generators of the group modulo torsion |
j |
82881856/27 |
j-invariant |
L |
9.6224332083449 |
L(r)(E,1)/r! |
Ω |
0.53465326355461 |
Real period |
R |
1.4997933958851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600er1 4704w1 117600q1 |
Quadratic twists by: -4 5 -7 |