Atkin-Lehner |
3+ 5- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33495h |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
28591834425 = 3 · 52 · 72 · 11 · 294 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1122,-12441] |
[a1,a2,a3,a4,a6] |
Generators |
[38:21:1] |
Generators of the group modulo torsion |
j |
156425280396841/28591834425 |
j-invariant |
L |
5.409076931965 |
L(r)(E,1)/r! |
Ω |
0.83519227068405 |
Real period |
R |
3.2382225757038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485k1 |
Quadratic twists by: -3 |