Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350p |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1964882812500 = 22 · 37 · 510 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-331317,73485841] |
[a1,a2,a3,a4,a6] |
Generators |
[239:2693:1] |
Generators of the group modulo torsion |
j |
353108405631241/172500 |
j-invariant |
L |
3.1852940205851 |
L(r)(E,1)/r! |
Ω |
0.67901014645676 |
Real period |
R |
0.58638557118895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800cx4 3450n3 2070n3 |
Quadratic twists by: -4 -3 5 |