Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362u |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
30029328 = 24 · 32 · 7 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-129,484] |
[a1,a2,a3,a4,a6] |
j |
7880599/1008 |
j-invariant |
L |
4.0326421434057 |
L(r)(E,1)/r! |
Ω |
2.0163210717331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086bs1 40362l1 |
Quadratic twists by: -3 -31 |