Atkin-Lehner |
2- 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31434r |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-12313200744 = -1 · 23 · 36 · 133 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,328,4961] |
[a1,a2,a3,a4,a6] |
j |
1775956931/5604552 |
j-invariant |
L |
5.3678585806429 |
L(r)(E,1)/r! |
Ω |
0.89464309677417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94302bg2 31434f2 |
Quadratic twists by: -3 13 |