Atkin-Lehner |
5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37925d |
Isogeny class |
Conductor |
37925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21925390625 = 58 · 372 · 41 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 0 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5563,-160008] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:30:1] [-43:34:1] |
Generators of the group modulo torsion |
j |
1218528651241/1403225 |
j-invariant |
L |
3.70118510165 |
L(r)(E,1)/r! |
Ω |
0.55284312385474 |
Real period |
R |
3.3474099088383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7585b2 |
Quadratic twists by: 5 |