Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33282x |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
462336 |
Modular degree for the optimal curve |
Δ |
-153372564042680322 = -1 · 2 · 38 · 438 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -3 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-283244,61075041] |
[a1,a2,a3,a4,a6] |
Generators |
[7412:345723:64] |
Generators of the group modulo torsion |
j |
-294937/18 |
j-invariant |
L |
8.4964307301713 |
L(r)(E,1)/r! |
Ω |
0.31993205467127 |
Real period |
R |
2.2130820711555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094c1 33282m1 |
Quadratic twists by: -3 -43 |