Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400bj |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-3.9673546875E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 -5 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1238325,-2983684250] |
[a1,a2,a3,a4,a6] |
Generators |
[19145230:1213593750:4913] |
Generators of the group modulo torsion |
j |
9002230481662/170068359375 |
j-invariant |
L |
3.8069308217965 |
L(r)(E,1)/r! |
Ω |
0.067749011622864 |
Real period |
R |
7.0239600741697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800n1 15480j1 |
Quadratic twists by: -3 5 |