Atkin-Lehner |
2- 3+ 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
104940b |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
1259280 = 24 · 33 · 5 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-177093,28684693] |
[a1,a2,a3,a4,a6] |
j |
1421818466412379392/2915 |
j-invariant |
L |
0.83514622025361 |
L(r)(E,1)/r! |
Ω |
1.2527193016306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104940p2 |
Quadratic twists by: -3 |