Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72864x |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2483712 |
Modular degree for the optimal curve |
Δ |
1.2956882909288E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11+ -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3380763,-1650835874] |
[a1,a2,a3,a4,a6] |
Generators |
[208385:95122386:1] |
Generators of the group modulo torsion |
j |
11449075068218623688/3471387096324037 |
j-invariant |
L |
4.7680963373116 |
L(r)(E,1)/r! |
Ω |
0.11395821474405 |
Real period |
R |
10.460185661416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72864bi1 8096b1 |
Quadratic twists by: -4 -3 |