Atkin-Lehner |
2+ 3+ 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21390b |
Isogeny class |
Conductor |
21390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13283190000 = 24 · 34 · 54 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2537,47829] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:231:1] |
Generators of the group modulo torsion |
j |
1806976738085401/13283190000 |
j-invariant |
L |
3.7806649397499 |
L(r)(E,1)/r! |
Ω |
1.2654638918488 |
Real period |
R |
0.37344654439591 |
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 |
64170w2 106950cd2 |
Quadratic twists by: -3 5 |