Atkin-Lehner |
2+ 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184d |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-82566144 = -1 · 210 · 32 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -5 2 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1969,34297] |
[a1,a2,a3,a4,a6] |
Generators |
[24:17:1] |
Generators of the group modulo torsion |
j |
-824862293248/80631 |
j-invariant |
L |
6.124010825348 |
L(r)(E,1)/r! |
Ω |
1.8410497454227 |
Real period |
R |
0.83159225518515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999780073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101184bf1 12648c1 |
Quadratic twists by: -4 8 |