Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790bc |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288288 |
Modular degree for the optimal curve |
Δ |
-83433282508800 = -1 · 211 · 36 · 52 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21030,1258676] |
[a1,a2,a3,a4,a6] |
Generators |
[83:241:1] |
Generators of the group modulo torsion |
j |
-11993263569/972800 |
j-invariant |
L |
4.4586848994289 |
L(r)(E,1)/r! |
Ω |
0.59521375211314 |
Real period |
R |
3.7454484873052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310s1 1710k1 |
Quadratic twists by: -3 -7 |