Atkin-Lehner |
3+ 5+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
37185c |
Isogeny class |
Conductor |
37185 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3027044925 = 36 · 52 · 37 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4971,132804] |
[a1,a2,a3,a4,a6] |
Generators |
[24:155:1] |
Generators of the group modulo torsion |
j |
13585025622900529/3027044925 |
j-invariant |
L |
1.683971248002 |
L(r)(E,1)/r! |
Ω |
1.3860536513341 |
Real period |
R |
0.60746972037529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111555q2 |
Quadratic twists by: -3 |