Atkin-Lehner |
2+ 3+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33984c |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4490298851328 = 216 · 39 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 -4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4428,-49680] |
[a1,a2,a3,a4,a6] |
Generators |
[-3580:28952:125] |
Generators of the group modulo torsion |
j |
7443468/3481 |
j-invariant |
L |
8.2868859889597 |
L(r)(E,1)/r! |
Ω |
0.61236868194354 |
Real period |
R |
6.7662555526671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33984bf2 4248b2 33984f2 |
Quadratic twists by: -4 8 -3 |