Atkin-Lehner |
2- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
27232d |
Isogeny class |
Conductor |
27232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5440 |
Modular degree for the optimal curve |
Δ |
-3485696 = -1 · 212 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 -4 -4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,251] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] |
Generators of the group modulo torsion |
j |
-12487168/851 |
j-invariant |
L |
3.3352054102338 |
L(r)(E,1)/r! |
Ω |
2.4609962744425 |
Real period |
R |
0.67761285233748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27232h1 54464o1 |
Quadratic twists by: -4 8 |