Atkin-Lehner |
2- 3+ 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31620a |
Isogeny class |
Conductor |
31620 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2823033600 = 28 · 33 · 52 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2396,-44280] |
[a1,a2,a3,a4,a6] |
j |
5944638276304/11027475 |
j-invariant |
L |
0.68243476378683 |
L(r)(E,1)/r! |
Ω |
0.68243476378767 |
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 |
126480bp2 94860r2 |
Quadratic twists by: -4 -3 |