Atkin-Lehner |
2- 3+ 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450bq |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
136663200 = 25 · 35 · 52 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 -2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-253,-1549] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:12:1] |
Generators of the group modulo torsion |
j |
71655997945/5466528 |
j-invariant |
L |
10.885897040618 |
L(r)(E,1)/r! |
Ω |
1.2028238010332 |
Real period |
R |
1.8100568055883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450bg1 |
Quadratic twists by: 5 |