Atkin-Lehner |
5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37925b |
Isogeny class |
Conductor |
37925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
14814453125 = 510 · 37 · 41 |
Discriminant |
Eigenvalues |
0 -2 5+ -2 4 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13333,588119] |
[a1,a2,a3,a4,a6] |
j |
26843545600/1517 |
j-invariant |
L |
1.1800774825521 |
L(r)(E,1)/r! |
Ω |
1.1800774825742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37925g1 |
Quadratic twists by: 5 |