Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bl |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-78148800000000000 = -1 · 215 · 36 · 511 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75483,-15640182] |
[a1,a2,a3,a4,a6] |
Generators |
[813:21456:1] |
Generators of the group modulo torsion |
j |
-15928823248281/26171875000 |
j-invariant |
L |
4.2526174342541 |
L(r)(E,1)/r! |
Ω |
0.13628790877242 |
Real period |
R |
3.900398678574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6030t1 5360m1 |
Quadratic twists by: -4 -3 |