Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760bz |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2497803633661440000 = 212 · 3 · 54 · 133 · 236 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-461040,-93621612] |
[a1,a2,a3,a4,a6] |
Generators |
[4532:301530:1] |
Generators of the group modulo torsion |
j |
2645943253854280561/609815340249375 |
j-invariant |
L |
8.1016589551273 |
L(r)(E,1)/r! |
Ω |
0.18625559654714 |
Real period |
R |
3.6247944152614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4485b2 |
Quadratic twists by: -4 |