Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
128316d |
Isogeny class |
Conductor |
128316 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1157444708688 = 24 · 34 · 176 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2697,16002] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:245:1] |
Generators of the group modulo torsion |
j |
5619712/2997 |
j-invariant |
L |
8.3989163339457 |
L(r)(E,1)/r! |
Ω |
0.75948525710071 |
Real period |
R |
3.6862318951812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
444b1 |
Quadratic twists by: 17 |