Atkin-Lehner |
2+ 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
90846bc |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-997313155630848 = -1 · 28 · 38 · 78 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7947,1545669] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1221:1] |
Generators of the group modulo torsion |
j |
-647214625/11628288 |
j-invariant |
L |
4.5277352652201 |
L(r)(E,1)/r! |
Ω |
0.41627687378622 |
Real period |
R |
2.719184962063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30282bg1 12978e1 |
Quadratic twists by: -3 -7 |