Atkin-Lehner |
3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31311g |
Isogeny class |
Conductor |
31311 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1260486927 = -1 · 36 · 73 · 712 |
Discriminant |
Eigenvalues |
1 3- 0 7- 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,243,832] |
[a1,a2,a3,a4,a6] |
j |
6331625/5041 |
j-invariant |
L |
1.9725278675944 |
L(r)(E,1)/r! |
Ω |
0.98626393379784 |
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 |
3479b2 31311f2 |
Quadratic twists by: -3 -7 |