Atkin-Lehner |
2+ 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
108936g |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-2258896896 = -1 · 211 · 36 · 17 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 2 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,-2194] |
[a1,a2,a3,a4,a6] |
Generators |
[786:4402:27] |
Generators of the group modulo torsion |
j |
207646/1513 |
j-invariant |
L |
4.2421838471406 |
L(r)(E,1)/r! |
Ω |
0.72599272856095 |
Real period |
R |
5.843286957295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12104b1 |
Quadratic twists by: -3 |