Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930bs |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-5.3055424986465E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16905562,-22633645912] |
[a1,a2,a3,a4,a6] |
Generators |
[3729:-305615:1] |
Generators of the group modulo torsion |
j |
13241287869457332257/13147628906250000 |
j-invariant |
L |
5.3906946032708 |
L(r)(E,1)/r! |
Ω |
0.050391094623797 |
Real period |
R |
0.81043279143291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790ej1 27930c1 |
Quadratic twists by: -3 -7 |