Atkin-Lehner |
2- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78416v |
Isogeny class |
Conductor |
78416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
121089359872 = 216 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 0 0 2 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17875,919698] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:1248:1] |
Generators of the group modulo torsion |
j |
70189453125/13456 |
j-invariant |
L |
6.4768492425432 |
L(r)(E,1)/r! |
Ω |
1.0164200201307 |
Real period |
R |
1.5930543262211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9802c2 78416w2 |
Quadratic twists by: -4 13 |