Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280ce |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
43868160 |
Modular degree for the optimal curve |
Δ |
2.3360830466842E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -7 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-171956776,460937260724] |
[a1,a2,a3,a4,a6] |
Generators |
[-14188:211722:1] |
Generators of the group modulo torsion |
j |
137284544981443275189621289/57033277506938880000000 |
j-invariant |
L |
6.9466414676427 |
L(r)(E,1)/r! |
Ω |
0.050453807362399 |
Real period |
R |
2.2947199372352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910a1 |
Quadratic twists by: -4 |