Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930dd |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
16773120 |
Modular degree for the optimal curve |
Δ |
-1.9644978155833E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-239611961,2566208958585] |
[a1,a2,a3,a4,a6] |
Generators |
[3198:1352151:1] |
Generators of the group modulo torsion |
j |
-37702212117675062365927/48682087219200000000 |
j-invariant |
L |
9.4785913434845 |
L(r)(E,1)/r! |
Ω |
0.042151913736846 |
Real period |
R |
1.8738950190691 |
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 |
83790cg1 27930cm1 |
Quadratic twists by: -3 -7 |