Atkin-Lehner |
2- 3- 5+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210bi |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
1050902138880 = 212 · 310 · 5 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2543,-1033] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:166:1] |
Generators of the group modulo torsion |
j |
2493877677481/1441566720 |
j-invariant |
L |
9.7965563399144 |
L(r)(E,1)/r! |
Ω |
0.7352613535981 |
Real period |
R |
1.1103258599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26070r1 |
Quadratic twists by: -3 |