Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362v |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-866810274197265342 = -1 · 2 · 38 · 74 · 317 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,238308,-1132101] |
[a1,a2,a3,a4,a6] |
Generators |
[2419578757168720:87465839455509143:2136719872000] |
Generators of the group modulo torsion |
j |
1686433811327/976683582 |
j-invariant |
L |
8.0198601554896 |
L(r)(E,1)/r! |
Ω |
0.16721368349063 |
Real period |
R |
23.980872821142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086i3 1302n4 |
Quadratic twists by: -3 -31 |