Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760bk |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-37917260282880 = -1 · 210 · 36 · 5 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7677,-144018] |
[a1,a2,a3,a4,a6] |
Generators |
[27:288:1] |
Generators of the group modulo torsion |
j |
67030251516/50793655 |
j-invariant |
L |
7.1179327441376 |
L(r)(E,1)/r! |
Ω |
0.36240118374253 |
Real period |
R |
2.4551288105069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000262957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640d4 |
Quadratic twists by: -3 |