Atkin-Lehner |
2+ 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
90846bf |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
80141235720336 = 24 · 310 · 77 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11916,-252288] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:524:1] |
Generators of the group modulo torsion |
j |
2181825073/934416 |
j-invariant |
L |
6.2256717845046 |
L(r)(E,1)/r! |
Ω |
0.47495817876712 |
Real period |
R |
1.6384789422177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30282bm1 12978h1 |
Quadratic twists by: -3 -7 |