Atkin-Lehner |
2+ 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39216d |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-26072679168 = -1 · 28 · 38 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 3 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,727,2115] |
[a1,a2,a3,a4,a6] |
Generators |
[22:171:1] |
Generators of the group modulo torsion |
j |
165763712000/101846403 |
j-invariant |
L |
7.3369143115156 |
L(r)(E,1)/r! |
Ω |
0.73414295455026 |
Real period |
R |
0.62461560330671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19608f1 117648b1 |
Quadratic twists by: -4 -3 |