Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930dm |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
5852 |
Product of Tamagawa factors cp |
deg |
3370752 |
Modular degree for the optimal curve |
Δ |
-1.1353601083798E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10995895,21441549737] |
[a1,a2,a3,a4,a6] |
Generators |
[914:109793:1] |
Generators of the group modulo torsion |
j |
-1249761744922780803169/965040168960000000 |
j-invariant |
L |
10.469788744068 |
L(r)(E,1)/r! |
Ω |
0.096691713557177 |
Real period |
R |
0.018503093544511 |
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 |
83790bi1 3990r1 |
Quadratic twists by: -3 -7 |