Atkin-Lehner |
5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
37925f |
Isogeny class |
Conductor |
37925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
1474263265625 = 56 · 372 · 413 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 4 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36205,-2641828] |
[a1,a2,a3,a4,a6] |
Generators |
[2849:150275:1] |
Generators of the group modulo torsion |
j |
335890789988697/94352849 |
j-invariant |
L |
4.3648643155284 |
L(r)(E,1)/r! |
Ω |
0.34611121734739 |
Real period |
R |
2.1018601809465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1517a1 |
Quadratic twists by: 5 |