Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152l |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
1261274112 = 210 · 33 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-411,2714] |
[a1,a2,a3,a4,a6] |
Generators |
[5:28:1] |
Generators of the group modulo torsion |
j |
277706124/45619 |
j-invariant |
L |
4.140266376413 |
L(r)(E,1)/r! |
Ω |
1.4634638701566 |
Real period |
R |
0.35363585504591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9576a1 76608dm1 19152k1 |
Quadratic twists by: -4 8 -3 |