Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974b |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4703275255926280392 = 23 · 36 · 738 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 6 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-165761321,821420625476] |
[a1,a2,a3,a4,a6] |
j |
3328404840479049625/31078728 |
j-invariant |
L |
4.0817122824683 |
L(r)(E,1)/r! |
Ω |
0.17007134510269 |
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 |
95922g2 438d2 |
Quadratic twists by: -3 73 |