Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120bl |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-2838317760000000 = -1 · 212 · 36 · 57 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 0 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,888,2563216] |
[a1,a2,a3,a4,a6] |
Generators |
[752:20700:1] |
Generators of the group modulo torsion |
j |
25934336/950546875 |
j-invariant |
L |
6.2601336667531 |
L(r)(E,1)/r! |
Ω |
0.35783147713124 |
Real period |
R |
0.20826955021441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33120o1 66240bv1 3680a1 |
Quadratic twists by: -4 8 -3 |