Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466q |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
197120 |
Modular degree for the optimal curve |
Δ |
-2006182367728 = -1 · 24 · 7 · 112 · 236 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7681,264741] |
[a1,a2,a3,a4,a6] |
Generators |
[105:741:1] |
Generators of the group modulo torsion |
j |
-338608873/13552 |
j-invariant |
L |
4.9922186297462 |
L(r)(E,1)/r! |
Ω |
0.82229034415651 |
Real period |
R |
1.517778562493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
154c1 |
Quadratic twists by: -23 |