Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33282d |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-410238656446464 = -1 · 218 · 39 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 5 -3 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16617,515357] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1693:1] |
Generators of the group modulo torsion |
j |
324242703/262144 |
j-invariant |
L |
4.8935054276373 |
L(r)(E,1)/r! |
Ω |
0.34307840109065 |
Real period |
R |
1.7829399242566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33282t1 33282s1 |
Quadratic twists by: -3 -43 |