Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cl |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
13682571840 = 26 · 38 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-954,-9612] |
[a1,a2,a3,a4,a6] |
Generators |
[69:465:1] |
Generators of the group modulo torsion |
j |
384240583/54720 |
j-invariant |
L |
5.8218506290483 |
L(r)(E,1)/r! |
Ω |
0.86714304407048 |
Real period |
R |
3.3569147958168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930df1 83790bd1 |
Quadratic twists by: -3 -7 |