Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920br |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-147087360000 = -1 · 216 · 33 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,664,17460] |
[a1,a2,a3,a4,a6] |
Generators |
[7:150:1] |
Generators of the group modulo torsion |
j |
7892485271/35910000 |
j-invariant |
L |
6.3573776158718 |
L(r)(E,1)/r! |
Ω |
0.73832686123181 |
Real period |
R |
1.4350865336402 |
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 |
3990a1 127680en1 95760fh1 |
Quadratic twists by: -4 8 -3 |