Atkin-Lehner |
5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
37825c |
Isogeny class |
Conductor |
37825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.1220905709979E+19 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 -4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-559838,-4551833] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:4367:1] |
Generators of the group modulo torsion |
j |
1241912091608857369/718137965438645 |
j-invariant |
L |
2.535814135993 |
L(r)(E,1)/r! |
Ω |
0.19101878825541 |
Real period |
R |
6.637603973808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7565a2 |
Quadratic twists by: 5 |