Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45080s |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
901824 |
Modular degree for the optimal curve |
Δ |
-8.12116340875E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-451388,449015812] |
[a1,a2,a3,a4,a6] |
Generators |
[109318560:5006992418:274625] |
Generators of the group modulo torsion |
j |
-140654416896/1123046875 |
j-invariant |
L |
4.8614866244637 |
L(r)(E,1)/r! |
Ω |
0.16502652282675 |
Real period |
R |
14.729409979651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160q1 45080bc1 |
Quadratic twists by: -4 -7 |