Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215cd |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
1.3794186108265E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1933786,867027251] |
[a1,a2,a3,a4,a6] |
Generators |
[1145:11849:1] |
Generators of the group modulo torsion |
j |
1408317602329/242911305 |
j-invariant |
L |
4.5121851423037 |
L(r)(E,1)/r! |
Ω |
0.1756457534185 |
Real period |
R |
1.2844561119099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998052289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745i1 9555u1 |
Quadratic twists by: -7 13 |