Atkin-Lehner |
3- 5- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77805bb |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2249846456086367775 = 39 · 52 · 78 · 133 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2804544,1807023325] |
[a1,a2,a3,a4,a6] |
Generators |
[516:22037:1] |
Generators of the group modulo torsion |
j |
3346440016146907051009/3086209130433975 |
j-invariant |
L |
8.2807429127313 |
L(r)(E,1)/r! |
Ω |
0.25802454109991 |
Real period |
R |
0.66860104302914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935h2 |
Quadratic twists by: -3 |