Atkin-Lehner |
2- 3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33060h |
Isogeny class |
Conductor |
33060 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
134016792112080 = 24 · 38 · 5 · 192 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16261,-577096] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2052:1] |
Generators of the group modulo torsion |
j |
29721600090701824/8376049507005 |
j-invariant |
L |
7.129186252441 |
L(r)(E,1)/r! |
Ω |
0.43180737892107 |
Real period |
R |
2.063763439573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99180y1 |
Quadratic twists by: -3 |