Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400ck |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
7002270720000000000 = 219 · 33 · 510 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-480208,13853588] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3786:1] |
Generators of the group modulo torsion |
j |
306163065625/175056768 |
j-invariant |
L |
7.0709353045379 |
L(r)(E,1)/r! |
Ω |
0.20226573255986 |
Real period |
R |
5.8264403095239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550w1 44400cc1 |
Quadratic twists by: -4 5 |