Atkin-Lehner |
2+ 3+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
6162a |
Isogeny class |
Conductor |
6162 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-198779262265007892 = -1 · 22 · 33 · 1312 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55054,21996568] |
[a1,a2,a3,a4,a6] |
j |
-18454516589139899113/198779262265007892 |
j-invariant |
L |
1.6232444344768 |
L(r)(E,1)/r! |
Ω |
0.27054073907947 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49296bj3 18486v4 80106r3 |
Quadratic twists by: -4 -3 13 |