Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79800u |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
257280 |
Modular degree for the optimal curve |
Δ |
-78204000000000 = -1 · 211 · 3 · 59 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 1 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19208,1103088] |
[a1,a2,a3,a4,a6] |
Generators |
[714:2625:8] |
Generators of the group modulo torsion |
j |
-195944362/19551 |
j-invariant |
L |
8.1075861744981 |
L(r)(E,1)/r! |
Ω |
0.59574665904712 |
Real period |
R |
2.2681862194412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79800bm1 |
Quadratic twists by: 5 |