Atkin-Lehner |
5- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
37925g |
Isogeny class |
Conductor |
37925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
948125 = 54 · 37 · 41 |
Discriminant |
Eigenvalues |
0 2 5- 2 4 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-533,4918] |
[a1,a2,a3,a4,a6] |
j |
26843545600/1517 |
j-invariant |
L |
2.638733469718 |
L(r)(E,1)/r! |
Ω |
2.6387334697528 |
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 |
37925b1 |
Quadratic twists by: 5 |