Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086g |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.0422268435899E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7905366,-8471104470] |
[a1,a2,a3,a4,a6] |
Generators |
[-38437140:32608365:21952] |
Generators of the group modulo torsion |
j |
84448510979617/933897762 |
j-invariant |
L |
4.5422806218973 |
L(r)(E,1)/r! |
Ω |
0.090096778274947 |
Real period |
R |
12.603893239575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998315142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362bc6 126b5 |
Quadratic twists by: -3 -31 |