Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400bi |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1504656000000 = -1 · 210 · 37 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 -1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25275,1547750] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-36:1] |
Generators of the group modulo torsion |
j |
-153091012/129 |
j-invariant |
L |
7.4439521957289 |
L(r)(E,1)/r! |
Ω |
0.84287004521602 |
Real period |
R |
1.1039590622739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800c1 3096e1 |
Quadratic twists by: -3 5 |