Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930cu |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-1.4051183335185E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 -3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12763080,-18458891823] |
[a1,a2,a3,a4,a6] |
Generators |
[7027:-492289:1] |
Generators of the group modulo torsion |
j |
-5697808233311360503/348201421875000 |
j-invariant |
L |
7.0468068922575 |
L(r)(E,1)/r! |
Ω |
0.039796649657797 |
Real period |
R |
0.32790806525878 |
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 |
83790bm1 27930cz1 |
Quadratic twists by: -3 -7 |