Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19920l |
Isogeny class |
Conductor |
19920 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
826122240000 = 216 · 35 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7256,231444] |
[a1,a2,a3,a4,a6] |
Generators |
[4:450:1] |
Generators of the group modulo torsion |
j |
10316097499609/201690000 |
j-invariant |
L |
6.3503300258498 |
L(r)(E,1)/r! |
Ω |
0.89247206281542 |
Real period |
R |
0.71154384438846 |
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 |
2490b1 79680bl1 59760bm1 99600bu1 |
Quadratic twists by: -4 8 -3 5 |