Atkin-Lehner |
5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
37825b |
Isogeny class |
Conductor |
37825 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
-37825 = -1 · 52 · 17 · 89 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 3 -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28,46] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] |
Generators of the group modulo torsion |
j |
-97325545/1513 |
j-invariant |
L |
4.8727942362958 |
L(r)(E,1)/r! |
Ω |
3.6568949112139 |
Real period |
R |
1.3324950141048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37825d1 |
Quadratic twists by: 5 |