Atkin-Lehner |
3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655b |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-631403292505245975 = -1 · 39 · 52 · 112 · 139 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,125197,-34249094] |
[a1,a2,a3,a4,a6] |
j |
2284322013/6645925 |
j-invariant |
L |
1.1840425254481 |
L(r)(E,1)/r! |
Ω |
0.1480053144313 |
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 |
83655e1 6435c1 |
Quadratic twists by: -3 13 |