Atkin-Lehner |
3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259c |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1169280 |
Modular degree for the optimal curve |
Δ |
-41083047162195687 = -1 · 39 · 112 · 297 |
Discriminant |
Eigenvalues |
1 3+ 4 4 11- -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69540,12055643] |
[a1,a2,a3,a4,a6] |
j |
-3176523/3509 |
j-invariant |
L |
5.9194605936205 |
L(r)(E,1)/r! |
Ω |
0.32885891890617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83259b1 2871a1 |
Quadratic twists by: -3 29 |