Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400ca |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-5952000 = -1 · 29 · 3 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -5 -4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3888,-92028] |
[a1,a2,a3,a4,a6] |
Generators |
[112:930:1] |
Generators of the group modulo torsion |
j |
-101586080296/93 |
j-invariant |
L |
4.2286031928194 |
L(r)(E,1)/r! |
Ω |
0.30229339844574 |
Real period |
R |
3.4971018349283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400bo1 74400bi1 |
Quadratic twists by: -4 5 |