Atkin-Lehner |
2+ 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150v |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2528084520000 = -1 · 26 · 39 · 54 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -5 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3333,18341] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:109:1] [79:838:1] |
Generators of the group modulo torsion |
j |
332801325/205504 |
j-invariant |
L |
7.3602779111701 |
L(r)(E,1)/r! |
Ω |
0.50212670676022 |
Real period |
R |
0.61075868358757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150dr1 111150cz1 |
Quadratic twists by: -3 5 |