Atkin-Lehner |
2- 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790dd |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-4280127392701440 = -1 · 210 · 39 · 5 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,35638,1780489] |
[a1,a2,a3,a4,a6] |
j |
2161700757/1848320 |
j-invariant |
L |
5.678507565101 |
L(r)(E,1)/r! |
Ω |
0.28392537584558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790d1 1710l1 |
Quadratic twists by: -3 -7 |