Atkin-Lehner |
2+ 3- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27528d |
Isogeny class |
Conductor |
27528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-226114992 = -1 · 24 · 32 · 31 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 0 3 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1943,32334] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-3:1] |
Generators of the group modulo torsion |
j |
-50727753472000/14132187 |
j-invariant |
L |
7.3262273223412 |
L(r)(E,1)/r! |
Ω |
1.7273182146839 |
Real period |
R |
1.0603470831346 |
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 |
55056a1 82584i1 |
Quadratic twists by: -4 -3 |