Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312bt |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
7587385344 = 212 · 37 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 4 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1085,12747] |
[a1,a2,a3,a4,a6] |
Generators |
[1:108:1] |
Generators of the group modulo torsion |
j |
285277696/15309 |
j-invariant |
L |
9.401753636913 |
L(r)(E,1)/r! |
Ω |
1.3005370231428 |
Real period |
R |
0.51636656171282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81312b1 81312s1 |
Quadratic twists by: -4 -11 |