Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763c |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3221449791506987187 = -1 · 3 · 72 · 2312 |
Discriminant |
Eigenvalues |
0 3+ 0 7- -6 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,61717,86131814] |
[a1,a2,a3,a4,a6] |
Generators |
[-2742:39671:8] |
Generators of the group modulo torsion |
j |
3584000000/444107667 |
j-invariant |
L |
1.8705153745425 |
L(r)(E,1)/r! |
Ω |
0.19361067642743 |
Real period |
R |
4.830610089305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77763v2 3381a2 |
Quadratic twists by: -7 -23 |