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 |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
22999889003515625 = 58 · 174 · 893 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 -4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-379213,89553792] |
[a1,a2,a3,a4,a6] |
Generators |
[83:7617:1] |
Generators of the group modulo torsion |
j |
385969875028168969/1471992896225 |
j-invariant |
L |
2.535814135993 |
L(r)(E,1)/r! |
Ω |
0.38203757651082 |
Real period |
R |
3.318801986904 |
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 |
7565a1 |
Quadratic twists by: 5 |