Atkin-Lehner |
3+ 5+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
37185b |
Isogeny class |
Conductor |
37185 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3972088350585 = -1 · 314 · 5 · 37 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2066,-103336] |
[a1,a2,a3,a4,a6] |
Generators |
[1771084:-12161143:21952] |
Generators of the group modulo torsion |
j |
-975276594443809/3972088350585 |
j-invariant |
L |
3.6839509823381 |
L(r)(E,1)/r! |
Ω |
0.32281886488769 |
Real period |
R |
11.411820630804 |
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 |
111555p2 |
Quadratic twists by: -3 |