Atkin-Lehner |
2- 3- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37518u |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
72184632 = 23 · 3 · 133 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1674,26220] |
[a1,a2,a3,a4,a6] |
Generators |
[26:8:1] |
Generators of the group modulo torsion |
j |
236143627741/32856 |
j-invariant |
L |
10.550367147177 |
L(r)(E,1)/r! |
Ω |
1.8754362959319 |
Real period |
R |
1.8751844873043 |
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 |
112554n2 37518i2 |
Quadratic twists by: -3 13 |