Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790fh |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-14252679000 = -1 · 23 · 37 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-482,-6919] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-341:1] |
Generators of the group modulo torsion |
j |
-49430863/57000 |
j-invariant |
L |
9.9927513376504 |
L(r)(E,1)/r! |
Ω |
0.48776677872499 |
Real period |
R |
0.56907612005488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930bc1 83790eo1 |
Quadratic twists by: -3 -7 |