Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328u |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
33340785408 = 28 · 33 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-999,-8398] |
[a1,a2,a3,a4,a6] |
Generators |
[-12310:45103:1000] |
Generators of the group modulo torsion |
j |
15952047984/4823609 |
j-invariant |
L |
6.9055663475716 |
L(r)(E,1)/r! |
Ω |
0.86910398588932 |
Real period |
R |
7.9456157832553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10332b2 41328q2 |
Quadratic twists by: -4 -3 |