Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33984bm |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-5637537792 = -1 · 217 · 36 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -1 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,276,3152] |
[a1,a2,a3,a4,a6] |
Generators |
[16:108:1] |
Generators of the group modulo torsion |
j |
24334/59 |
j-invariant |
L |
6.3236813554919 |
L(r)(E,1)/r! |
Ω |
0.94328125080113 |
Real period |
R |
1.6759798178224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33984x1 8496i1 3776x1 |
Quadratic twists by: -4 8 -3 |