Atkin-Lehner |
2- 3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bv |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-357185193750000 = -1 · 24 · 34 · 58 · 73 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7199,-875377] |
[a1,a2,a3,a4,a6] |
Generators |
[89:648:1] |
Generators of the group modulo torsion |
j |
41260687719319151/357185193750000 |
j-invariant |
L |
6.3641159834019 |
L(r)(E,1)/r! |
Ω |
0.26649380148334 |
Real period |
R |
0.99503815035246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ce1 |
Quadratic twists by: -3 |