Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075s |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-67040380425 = -1 · 3 · 52 · 197 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 3 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5603,161442] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:555:1] |
Generators of the group modulo torsion |
j |
-16539745/57 |
j-invariant |
L |
3.4752605465896 |
L(r)(E,1)/r! |
Ω |
1.1046691503816 |
Real period |
R |
0.78649352735823 |
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 |
81225bc1 27075l1 1425d1 |
Quadratic twists by: -3 5 -19 |