Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800bc |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-828375000000 = -1 · 26 · 3 · 59 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2342,4688] |
[a1,a2,a3,a4,a6] |
Generators |
[3576:44000:27] |
Generators of the group modulo torsion |
j |
1420034624/828375 |
j-invariant |
L |
8.8572554229163 |
L(r)(E,1)/r! |
Ω |
0.53904545292818 |
Real period |
R |
4.107842562439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112800bm1 22560l1 |
Quadratic twists by: -4 5 |