Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80736l |
Isogeny class |
Conductor |
80736 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-2146160610860544 = -1 · 29 · 35 · 297 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -6 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19904,1955948] |
[a1,a2,a3,a4,a6] |
Generators |
[599:15138:1] |
Generators of the group modulo torsion |
j |
2863288/7047 |
j-invariant |
L |
6.6017356728559 |
L(r)(E,1)/r! |
Ω |
0.32352781475441 |
Real period |
R |
1.0202732766738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80736g1 2784b1 |
Quadratic twists by: -4 29 |