Atkin-Lehner |
2+ 3- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184p |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-18354628657152 = -1 · 216 · 312 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7073,305727] |
[a1,a2,a3,a4,a6] |
Generators |
[43:288:1] |
Generators of the group modulo torsion |
j |
-597194990500/280069407 |
j-invariant |
L |
6.5961524442638 |
L(r)(E,1)/r! |
Ω |
0.64342719229829 |
Real period |
R |
0.85429925392654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000343 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101184w1 12648e1 |
Quadratic twists by: -4 8 |