Atkin-Lehner |
2+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90334i |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9941297932412296 = 23 · 319 · 47 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2528891,1546840693] |
[a1,a2,a3,a4,a6] |
Generators |
[617:14587:1] |
Generators of the group modulo torsion |
j |
2015320626946297/11201416 |
j-invariant |
L |
4.6611236589229 |
L(r)(E,1)/r! |
Ω |
0.36217936248604 |
Real period |
R |
0.35749043347792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999930774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914b2 |
Quadratic twists by: -31 |