Atkin-Lehner |
3+ 5+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31395b |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6835464111328125 = -1 · 3 · 512 · 74 · 132 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,46242,-1064427] |
[a1,a2,a3,a4,a6] |
j |
10935001967223042071/6835464111328125 |
j-invariant |
L |
1.9386477705131 |
L(r)(E,1)/r! |
Ω |
0.24233097131398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94185x3 |
Quadratic twists by: -3 |