Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81900g |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-2445942563268750000 = -1 · 24 · 39 · 58 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-283800,-95122375] |
[a1,a2,a3,a4,a6] |
Generators |
[1630:61425:1] |
Generators of the group modulo torsion |
j |
-13870539341824/13420809675 |
j-invariant |
L |
5.5168558449753 |
L(r)(E,1)/r! |
Ω |
0.099503046898356 |
Real period |
R |
2.3101703989965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27300a1 16380i1 |
Quadratic twists by: -3 5 |