Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760by |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7146834314400000000 = -1 · 211 · 39 · 58 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,94533,-128134474] |
[a1,a2,a3,a4,a6] |
Generators |
[431606:15275000:343] |
Generators of the group modulo torsion |
j |
62577261371662/4786920703125 |
j-invariant |
L |
7.2273068198844 |
L(r)(E,1)/r! |
Ω |
0.11222010901247 |
Real period |
R |
8.0503696896057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998707932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920h3 |
Quadratic twists by: -3 |