Atkin-Lehner |
2+ 3+ 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41538c |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
635905242 = 2 · 38 · 72 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10537,411955] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:892:1] [15:500:1] |
Generators of the group modulo torsion |
j |
129401422614437401/635905242 |
j-invariant |
L |
3.9125826671907 |
L(r)(E,1)/r! |
Ω |
1.4347488024865 |
Real period |
R |
2.7270158096046 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124614n2 |
Quadratic twists by: -3 |