Atkin-Lehner |
3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259b |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
389760 |
Modular degree for the optimal curve |
Δ |
-56355345901503 = -1 · 33 · 112 · 297 |
Discriminant |
Eigenvalues |
-1 3+ -4 4 11+ -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7727,-443930] |
[a1,a2,a3,a4,a6] |
Generators |
[892:26045:1] |
Generators of the group modulo torsion |
j |
-3176523/3509 |
j-invariant |
L |
2.0461082979289 |
L(r)(E,1)/r! |
Ω |
0.2440379947866 |
Real period |
R |
2.0960960387033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83259c1 2871b1 |
Quadratic twists by: -3 29 |