Atkin-Lehner |
2- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
19856g |
Isogeny class |
Conductor |
19856 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-11752210432 = -1 · 215 · 173 · 73 |
Discriminant |
Eigenvalues |
2- 2 0 4 3 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-888,-11152] |
[a1,a2,a3,a4,a6] |
j |
-18927429625/2869192 |
j-invariant |
L |
5.2034214470382 |
L(r)(E,1)/r! |
Ω |
0.43361845391985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2482d1 79424o1 |
Quadratic twists by: -4 8 |