Atkin-Lehner |
3+ 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
66975a |
Isogeny class |
Conductor |
66975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
7157953125 = 33 · 56 · 192 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 3 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-883,9543] |
[a1,a2,a3,a4,a6] |
Generators |
[33:123:1] |
Generators of the group modulo torsion |
j |
4878401536/458109 |
j-invariant |
L |
5.3371795350683 |
L(r)(E,1)/r! |
Ω |
1.2898071015284 |
Real period |
R |
2.0689836211346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2679d1 |
Quadratic twists by: 5 |