Atkin-Lehner |
2+ 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498r |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1198379475993924 = 22 · 38 · 78 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78948,-8354340] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:486:1] |
Generators of the group modulo torsion |
j |
634504103857/13972644 |
j-invariant |
L |
3.3089685731478 |
L(r)(E,1)/r! |
Ω |
0.2851976940868 |
Real period |
R |
2.9005919783984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946939 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26166z2 11214g2 |
Quadratic twists by: -3 -7 |