Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944dd |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
243263164834816 = 210 · 710 · 292 |
Discriminant |
Eigenvalues |
2- 1 3 7- -1 2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22409,1043279] |
[a1,a2,a3,a4,a6] |
Generators |
[2225710:21418501:12167] |
Generators of the group modulo torsion |
j |
4302592/841 |
j-invariant |
L |
10.454897316202 |
L(r)(E,1)/r! |
Ω |
0.52702328207453 |
Real period |
R |
9.9188192147147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944y1 22736bm1 90944cp1 |
Quadratic twists by: -4 8 -7 |