Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275df |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.0662655498218E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2243817,195284466] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:15938:1] |
Generators of the group modulo torsion |
j |
932288503609/527295615 |
j-invariant |
L |
7.4979571683839 |
L(r)(E,1)/r! |
Ω |
0.13842359475723 |
Real period |
R |
3.3854222823615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425cp3 24255be3 17325w3 |
Quadratic twists by: -3 5 -7 |