Atkin-Lehner |
2- 5+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
95450i |
Isogeny class |
Conductor |
95450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-44960768000000 = -1 · 216 · 56 · 232 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -5 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1637,322281] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-762:1] [-45:422:1] |
Generators of the group modulo torsion |
j |
31047965207/2877489152 |
j-invariant |
L |
12.740301052736 |
L(r)(E,1)/r! |
Ω |
0.48983981390289 |
Real period |
R |
0.40639245383496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995452 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3818b1 |
Quadratic twists by: 5 |