Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128r |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
60826121732096 = 216 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 2 2 7- -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-515937,-142468255] |
[a1,a2,a3,a4,a6] |
Generators |
[55983600069:-7906180254560:2803221] |
Generators of the group modulo torsion |
j |
1969910093092/7889 |
j-invariant |
L |
11.501368882299 |
L(r)(E,1)/r! |
Ω |
0.17813547672502 |
Real period |
R |
16.141322734751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128bn1 9016n1 10304p1 |
Quadratic twists by: -4 8 -7 |