Atkin-Lehner |
2+ 3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480o |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-853740000000 = -1 · 28 · 34 · 57 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 1 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2340,-8100] |
[a1,a2,a3,a4,a6] |
Generators |
[30:300:1] |
Generators of the group modulo torsion |
j |
5532809405744/3334921875 |
j-invariant |
L |
10.893223162395 |
L(r)(E,1)/r! |
Ω |
0.51753648062775 |
Real period |
R |
0.37586112115411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63240o1 |
Quadratic twists by: -4 |