Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950da |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2672377312500000 = -1 · 25 · 38 · 59 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,29687,-1517383] |
[a1,a2,a3,a4,a6] |
Generators |
[812:-24031:1] |
Generators of the group modulo torsion |
j |
185183253170999/171032148000 |
j-invariant |
L |
9.2175238676109 |
L(r)(E,1)/r! |
Ω |
0.24916288190362 |
Real period |
R |
0.077070768235927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850cm1 3990i1 |
Quadratic twists by: -3 5 |