Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31434s |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-2.0532234682399E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4595022,-21468427644] |
[a1,a2,a3,a4,a6] |
Generators |
[11012:1162622:1] |
Generators of the group modulo torsion |
j |
2222933022458732375/42537905855397888 |
j-invariant |
L |
11.080247720862 |
L(r)(E,1)/r! |
Ω |
0.04874899333065 |
Real period |
R |
1.262732367929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302n3 2418b3 |
Quadratic twists by: -3 13 |